61364800 has 84 divisors (see below), whose sum is σ = 172598080. Its totient is φ = 21035520.

The previous prime is 61364789. The next prime is 61364801. The reversal of 61364800 is 846316.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61364801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8461 + ... + 13939.

Almost surely, 2^61364800 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 61364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86299040).

61364800 is an abundant number, since it is smaller than the sum of its proper divisors (111233280).

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

61364800 is a wasteful number, since it uses less digits than its factorization.

61364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 61364800 is about 7833.5687907875. The cubic root of 61364800 is about 394.4328773232.

The spelling of 61364800 in words is "sixty-one million, three hundred sixty-four thousand, eight hundred".