67578960 has 40 divisors (see below), whose sum is σ = 209495520. Its totient is φ = 18020992.

The previous prime is 67578943. The next prime is 67579003. The reversal of 67578960 is 6987576.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140550 + ... + 141029.

It is an arithmetic number, because the mean of its divisors is an integer number (5237388).

Almost surely, 2^67578960 is an apocalyptic number.

67578960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67578960 is an abundant number, since it is smaller than the sum of its proper divisors (141916560).

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

67578960 is a wasteful number, since it uses less digits than its factorization.

67578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281595 (or 281589 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 67578960 is about 8220.6423106714. The cubic root of 67578960 is about 407.3213438939.

The spelling of 67578960 in words is "sixty-seven million, five hundred seventy-eight thousand, nine hundred sixty".