662412960 has 576 divisors, whose sum is σ = 2717245440. Its totient is φ = 145152000.

The previous prime is 662412953. The next prime is 662412977. The reversal of 662412960 is 69214266.

662412960 is a `hidden beast` number, since 6 + 624 + 1 + 29 + 6 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9329725 + ... + 9329795.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^662412960 is an apocalyptic number.

662412960 is a gapful number since it is divisible by the number (60) 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 662412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

662412960 is an abundant number, since it is smaller than the sum of its proper divisors (2054832480).

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

662412960 is a wasteful number, since it uses less digits than its factorization.

662412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 662412960 is about 25737.3844824994. The cubic root of 662412960 is about 871.7185214998.

The spelling of 662412960 in words is "six hundred sixty-two million, four hundred twelve thousand, nine hundred sixty".