167390664 has 96 divisors (see below), whose sum is σ = 500086080. Its totient is φ = 46521216.

The previous prime is 167390617. The next prime is 167390677. The reversal of 167390664 is 466093761.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 41589 + ... + 45435.

It is an arithmetic number, because the mean of its divisors is an integer number (5209230).

Almost surely, 2^167390664 is an apocalyptic number.

167390664 is a gapful number since it is divisible by the number (14) 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 167390664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250043040).

167390664 is an abundant number, since it is smaller than the sum of its proper divisors (332695416).

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

167390664 is a wasteful number, since it uses less digits than its factorization.

167390664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 167390664 is about 12937.9543978173. The cubic root of 167390664 is about 551.1169192479.

The spelling of 167390664 in words is "one hundred sixty-seven million, three hundred ninety thousand, six hundred sixty-four".