61564900 has 36 divisors (see below), whose sum is σ = 133936740. Its totient is φ = 24563200.

The previous prime is 61564873. The next prime is 61564913. The reversal of 61564900 is 946516.

It can be written as a sum of positive squares in 6 ways, for example, as 5134756 + 56430144 = 2266^2 + 7512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75696 + ... + 76504.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 2^61564900 is an apocalyptic number.

It is an amenable number.

61564900 is an abundant number, since it is smaller than the sum of its proper divisors (72371840).

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

61564900 is a wasteful number, since it uses less digits than its factorization.

61564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 61564900 is about 7846.3303524641. The cubic root of 61564900 is about 394.8611379645.

The spelling of 61564900 in words is "sixty-one million, five hundred sixty-four thousand, nine hundred".