74616960 has 128 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 18083840.

The previous prime is 74616937. The next prime is 74616973. The reversal of 74616960 is 6961647.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19354 + ... + 22886.

Almost surely, 2^74616960 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 74616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

74616960 is an abundant number, since it is smaller than the sum of its proper divisors (184920000).

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

74616960 is a wasteful number, since it uses less digits than its factorization.

74616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 74616960 is about 8638.1109045902. The cubic root of 74616960 is about 420.9971770827.

The spelling of 74616960 in words is "seventy-four million, six hundred sixteen thousand, nine hundred sixty".