74914560 has 216 divisors, whose sum is σ = 296543520. Its totient is φ = 17104896.

The previous prime is 74914559. The next prime is 74914561. The reversal of 74914560 is 6541947.

74914560 is a `hidden beast` number, since 7 + 4 + 91 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (74914559) and next prime (74914561).

It is a super-2 number, since 2×74914560² = 11224382599987200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (74914561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80176 + ... + 81104.

Almost surely, 2^74914560 is an apocalyptic number.

74914560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148271760).

74914560 is an abundant number, since it is smaller than the sum of its proper divisors (221628960).

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

74914560 is a wasteful number, since it uses less digits than its factorization.

74914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

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

The square root of 74914560 is about 8655.3197514592. The cubic root of 74914560 is about 421.5561320532.

The spelling of 74914560 in words is "seventy-four million, nine hundred fourteen thousand, five hundred sixty".