61657600 has 60 divisors (see below), whose sum is σ = 152793234. Its totient is φ = 24657920.

The previous prime is 61657579. The next prime is 61657601. The reversal of 61657600 is 675616.

It can be written as a sum of positive squares in 3 ways, for example, as 31539456 + 30118144 = 5616^2 + 5488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61657601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10392 + ... + 15208.

Almost surely, 2^61657600 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 61657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76396617).

61657600 is an abundant number, since it is smaller than the sum of its proper divisors (91135634).

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

61657600 is an equidigital number, since it uses as much as digits as its factorization.

61657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 61657600 is about 7852.2353505228. The cubic root of 61657600 is about 395.0592230808.

The spelling of 61657600 in words is "sixty-one million, six hundred fifty-seven thousand, six hundred".