164017656 has 64 divisors (see below), whose sum is σ = 497030400. Its totient is φ = 49701600.

The previous prime is 164017631. The next prime is 164017661. The reversal of 164017656 is 656710461.

164017656 is a `hidden beast` number, since 1 + 640 + 1 + 7 + 6 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164017656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32140 + ... + 36891.

It is an arithmetic number, because the mean of its divisors is an integer number (7766100).

Almost surely, 2^164017656 is an apocalyptic number.

It is an amenable number.

164017656 is an abundant number, since it is smaller than the sum of its proper divisors (333012744).

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

164017656 is a wasteful number, since it uses less digits than its factorization.

164017656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69057 (or 69047 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164017656 is about 12806.9378072980. The cubic root of 164017656 is about 547.3900098059.

The spelling of 164017656 in words is "one hundred sixty-four million, seventeen thousand, six hundred fifty-six".