74514960 has 240 divisors, whose sum is σ = 284356800. Its totient is φ = 17335296.

The previous prime is 74514943. The next prime is 74514989. The reversal of 74514960 is 6941547.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177631 + ... + 178049.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^74514960 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 74514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

74514960 is an abundant number, since it is smaller than the sum of its proper divisors (209841840).

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

74514960 is a wasteful number, since it uses less digits than its factorization.

74514960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 74514960 is about 8632.2048168472. The cubic root of 74514960 is about 420.8052578292.

The spelling of 74514960 in words is "seventy-four million, five hundred fourteen thousand, nine hundred sixty".