61310304 has 96 divisors (see below), whose sum is σ = 195108480. Its totient is φ = 18576000.

The previous prime is 61310299. The next prime is 61310309. The reversal of 61310304 is 40301316.

It is an interprime number because it is at equal distance from previous prime (61310299) and next prime (61310309).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61310309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 12729.

It is an arithmetic number, because the mean of its divisors is an integer number (2032380).

Almost surely, 2^61310304 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 61310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97554240).

61310304 is an abundant number, since it is smaller than the sum of its proper divisors (133798176).

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

61310304 is a wasteful number, since it uses less digits than its factorization.

61310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61310304 is about 7830.0896546591. The cubic root of 61310304 is about 394.3160819171.

The spelling of 61310304 in words is "sixty-one million, three hundred ten thousand, three hundred four".