67440960 has 84 divisors (see below), whose sum is σ = 231978708. Its totient is φ = 17983488.

The previous prime is 67440959. The next prime is 67441009. The reversal of 67440960 is 6904476.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 41062464 = 5136^2 + 6408^2 .

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 11 ways as a sum of consecutive naturals, for example, 8829 + ... + 14588.

Almost surely, 2^67440960 is an apocalyptic number.

67440960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67440960 is an abundant number, since it is smaller than the sum of its proper divisors (164537748).

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

67440960 is a wasteful number, since it uses less digits than its factorization.

67440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23440 (or 23427 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67440960 is about 8212.2445165740. The cubic root of 67440960 is about 407.0438973313.

The spelling of 67440960 in words is "sixty-seven million, four hundred forty thousand, nine hundred sixty".