61404800 has 96 divisors (see below), whose sum is σ = 156835200. Its totient is φ = 23731200.

The previous prime is 61404797. The next prime is 61404821. The reversal of 61404800 is 840416.

It is a happy number.

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, 98891 + ... + 99509.

It is an arithmetic number, because the mean of its divisors is an integer number (1633700).

Almost surely, 2^61404800 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 61404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78417600).

61404800 is an abundant number, since it is smaller than the sum of its proper divisors (95430400).

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

61404800 is a wasteful number, since it uses less digits than its factorization.

61404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 61404800 is about 7836.1214896146. The cubic root of 61404800 is about 394.5185610172.

The spelling of 61404800 in words is "sixty-one million, four hundred four thousand, eight hundred".