61620400 has 60 divisors (see below), whose sum is σ = 149331712. Its totient is φ = 24433920.

The previous prime is 61620379. The next prime is 61620437. The reversal of 61620400 is 402616.

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, 50194 + ... + 51406.

Almost surely, 2^61620400 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 61620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74665856).

61620400 is an abundant number, since it is smaller than the sum of its proper divisors (87711312).

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

61620400 is a wasteful number, since it uses less digits than its factorization.

61620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 61620400 is about 7849.8662408986. The cubic root of 61620400 is about 394.9797564800.

The spelling of 61620400 in words is "sixty-one million, six hundred twenty thousand, four hundred".