61504400 has 60 divisors (see below), whose sum is σ = 148762800. Its totient is φ = 24435840.

The previous prime is 61504393. The next prime is 61504427. The reversal of 61504400 is 440516.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 71171 + ... + 72029.

It is an arithmetic number, because the mean of its divisors is an integer number (2479380).

Almost surely, 2^61504400 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 61504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74381400).

61504400 is an abundant number, since it is smaller than the sum of its proper divisors (87258400).

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

61504400 is a wasteful number, since it uses less digits than its factorization.

61504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 61504400 is about 7842.4740994153. The cubic root of 61504400 is about 394.7317518564.

Adding to 61504400 its reverse (440516), we get a palindrome (61944916).

It can be divided in two parts, 61504 and 400, that multiplied together give a square (24601600 = 4960²).

The spelling of 61504400 in words is "sixty-one million, five hundred four thousand, four hundred".