616032400 has 135 divisors (see below), whose sum is σ = 1594030881. Its totient is φ = 228741120.

The previous prime is 616032397. The next prime is 616032401. The reversal of 616032400 is 4230616.

The square root of 616032400 is 24820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 176039824 + 439992576 = 13268^2 + 20976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (616032401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8438764 + ... + 8438836.

Almost surely, 2^616032400 is an apocalyptic number.

616032400 is the 24820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616032400

616032400 is an abundant number, since it is smaller than the sum of its proper divisors (977998481).

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

616032400 is a wasteful number, since it uses less digits than its factorization.

616032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 616032400 is about 850.8790905100.

The spelling of 616032400 in words is "six hundred sixteen million, thirty-two thousand, four hundred".