61261200 has 720 divisors, whose sum is σ = 302230656. Its totient is φ = 11059200.

The previous prime is 61261199. The next prime is 61261219. The reversal of 61261200 is 216216.

Added to its reverse (216216) it gives a triangular number (61477416 = T₁₁₀₈₈).

61261200 = 298² + 299² + ... + 594².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3603592 + ... + 3603608.

61261200 is a highly composite number, because it has more divisors than any smaller number.

61261200 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^61261200 is an apocalyptic number.

61261200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

61261200 is an abundant number, since it is smaller than the sum of its proper divisors (240969456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61261200 is a wasteful number, since it uses less digits than its factorization.

61261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61261200 is about 7826.9534302946. The cubic root of 61261200 is about 394.2107833124.

Adding to 61261200 its reverse (216216), we get a palindrome (61477416).

It can be divided in two parts, 612 and 61200, that multiplied together give a square (37454400 = 6120²).

The spelling of 61261200 in words is "sixty-one million, two hundred sixty-one thousand, two hundred".