658672560 has 400 divisors, whose sum is σ = 2818111296. Its totient is φ = 138848256.

The previous prime is 658672559. The next prime is 658672579. The reversal of 658672560 is 65276856.

658672560 is a `hidden beast` number, since 6 + 5 + 86 + 7 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 589122 + ... + 590238.

Almost surely, 2^658672560 is an apocalyptic number.

658672560 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 658672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409055648).

658672560 is an abundant number, since it is smaller than the sum of its proper divisors (2159438736).

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

658672560 is a wasteful number, since it uses less digits than its factorization.

658672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 658672560 is about 25664.6168878478. The cubic root of 658672560 is about 870.0746666000.

The spelling of 658672560 in words is "six hundred fifty-eight million, six hundred seventy-two thousand, five hundred sixty".