67264560 has 320 divisors, whose sum is σ = 267840000. Its totient is φ = 15344640.

The previous prime is 67264511. The next prime is 67264573. The reversal of 67264560 is 6546276.

67264560 is a `hidden beast` number, since 6 + 7 + 2 + 645 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451366 + ... + 451514.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^67264560 is an apocalyptic number.

67264560 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 67264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

67264560 is an abundant number, since it is smaller than the sum of its proper divisors (200575440).

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

67264560 is a wasteful number, since it uses less digits than its factorization.

67264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 67264560 is about 8201.4974242513. The cubic root of 67264560 is about 406.6886965879.

The spelling of 67264560 in words is "sixty-seven million, two hundred sixty-four thousand, five hundred sixty".