61904304 has 160 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 16070400.

The previous prime is 61904291. The next prime is 61904309. The reversal of 61904304 is 40340916.

61904304 is a `hidden beast` number, since 619 + 0 + 43 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61904309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32334 + ... + 34194.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^61904304 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 61904304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

61904304 is an abundant number, since it is smaller than the sum of its proper divisors (159748176).

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

61904304 is a wasteful number, since it uses less digits than its factorization.

61904304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61904304 is about 7867.9288253008. The cubic root of 61904304 is about 395.5854247154.

The spelling of 61904304 in words is "sixty-one million, nine hundred four thousand, three hundred four".