61329904 has 40 divisors (see below), whose sum is σ = 125027712. Its totient is φ = 29103360.

The previous prime is 61329889. The next prime is 61329913. The reversal of 61329904 is 40992316.

It is a super-2 number, since 2×61329904² = 7522714249298432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61329904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25122 + ... + 27454.

Almost surely, 2^61329904 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 61329904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62513856).

61329904 is an abundant number, since it is smaller than the sum of its proper divisors (63697808).

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

61329904 is a wasteful number, since it uses less digits than its factorization.

61329904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 61329904 is about 7831.3411367402. The cubic root of 61329904 is about 394.3580964523.

The spelling of 61329904 in words is "sixty-one million, three hundred twenty-nine thousand, nine hundred four".