61261080 has 64 divisors (see below), whose sum is σ = 186818400. Its totient is φ = 16066560.

The previous prime is 61261063. The next prime is 61261087. The reversal of 61261080 is 8016216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61261080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3136 + ... + 11504.

Almost surely, 2^61261080 is an apocalyptic number.

61261080 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 61261080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93409200).

61261080 is an abundant number, since it is smaller than the sum of its proper divisors (125557320).

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

61261080 is a wasteful number, since it uses less digits than its factorization.

61261080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8444 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 61261080 is about 7826.9457644729. The cubic root of 61261080 is about 394.2105259155.

Adding to 61261080 its reverse (8016216), we get a palindrome (69277296).

The spelling of 61261080 in words is "sixty-one million, two hundred sixty-one thousand, eighty".