61024400 has 90 divisors (see below), whose sum is σ = 152689446. Its totient is φ = 23424000.

The previous prime is 61024391. The next prime is 61024421. The reversal of 61024400 is 442016.

It can be written as a sum of positive squares in 9 ways, for example, as 59660176 + 1364224 = 7724^2 + 1168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1000370 + ... + 1000430.

Almost surely, 2^61024400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76344723).

61024400 is an abundant number, since it is smaller than the sum of its proper divisors (91665046).

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

61024400 is a wasteful number, since it uses less digits than its factorization.

61024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 61024400 is about 7811.8115696681. The cubic root of 61024400 is about 393.7021979427.

Adding to 61024400 its reverse (442016), we get a palindrome (61466416).

The spelling of 61024400 in words is "sixty-one million, twenty-four thousand, four hundred".