164627640 has 96 divisors (see below), whose sum is σ = 554888880. Its totient is φ = 43898112.

The previous prime is 164627633. The next prime is 164627657. The reversal of 164627640 is 46726461.

164627640 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 2 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 164627595 and 164627604.

It is a congruent number.

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, 1252 + ... + 18188.

Almost surely, 2^164627640 is an apocalyptic number.

164627640 is a gapful number since it is divisible by the number (10) 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 164627640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277444440).

164627640 is an abundant number, since it is smaller than the sum of its proper divisors (390261240).

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

164627640 is a wasteful number, since it uses less digits than its factorization.

164627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16963 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164627640 is about 12830.7302987788. The cubic root of 164627640 is about 548.0677540678.

The spelling of 164627640 in words is "one hundred sixty-four million, six hundred twenty-seven thousand, six hundred forty".