61503904 has 96 divisors (see below), whose sum is σ = 153014400. Its totient is φ = 23639040.

The previous prime is 61503899. The next prime is 61503947. The reversal of 61503904 is 40930516.

61503904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268462 + ... + 268690.

It is an arithmetic number, because the mean of its divisors is an integer number (1593900).

Almost surely, 2^61503904 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 61503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507200).

61503904 is an abundant number, since it is smaller than the sum of its proper divisors (91510496).

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

61503904 is a wasteful number, since it uses less digits than its factorization.

61503904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 61503904 is about 7842.4424766778. The cubic root of 61503904 is about 394.7306907536.

The spelling of 61503904 in words is "sixty-one million, five hundred three thousand, nine hundred four".