74286960 has 160 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 17049600.

The previous prime is 74286937. The next prime is 74286977. The reversal of 74286960 is 6968247.

74286960 = T₁₆₁₆ + T₁₆₁₇ + ... + T₁₆₇₀.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49420 + ... + 50900.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^74286960 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 74286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

74286960 is an abundant number, since it is smaller than the sum of its proper divisors (190338960).

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

74286960 is a wasteful number, since it uses less digits than its factorization.

74286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 74286960 is about 8618.9883397067. The cubic root of 74286960 is about 420.3756276755.

The spelling of 74286960 in words is "seventy-four million, two hundred eighty-six thousand, nine hundred sixty".