67152960 has 168 divisors, whose sum is σ = 264054336. Its totient is φ = 15344640.

The previous prime is 67152931. The next prime is 67152977. The reversal of 67152960 is 6925176.

67152960 is a `hidden beast` number, since 6 + 71 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18495 + ... + 21825.

It is an arithmetic number, because the mean of its divisors is an integer number (1571752).

Almost surely, 2^67152960 is an apocalyptic number.

67152960 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 67152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132027168).

67152960 is an abundant number, since it is smaller than the sum of its proper divisors (196901376).

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

67152960 is a wasteful number, since it uses less digits than its factorization.

67152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 67152960 is about 8194.6909642768. The cubic root of 67152960 is about 406.4636569225.

The spelling of 67152960 in words is "sixty-seven million, one hundred fifty-two thousand, nine hundred sixty".