164687040 has 336 divisors, whose sum is σ = 677570400. Its totient is φ = 37545984.

The previous prime is 164687011. The next prime is 164687053. The reversal of 164687040 is 40786461.

164687040 is a `hidden beast` number, since 1 + 646 + 8 + 7 + 0 + 4 + 0 = 666.

164687040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×164687040² = 54243642287923200, which contains 22 as substring.

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 = 164686986 and 164687004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423166 + ... + 423554.

Almost surely, 2^164687040 is an apocalyptic number.

164687040 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 164687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338785200).

164687040 is an abundant number, since it is smaller than the sum of its proper divisors (512883360).

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

164687040 is a wasteful number, since it uses less digits than its factorization.

164687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 164687040 is about 12833.0448452423. The cubic root of 164687040 is about 548.1336630284.

The spelling of 164687040 in words is "one hundred sixty-four million, six hundred eighty-seven thousand, forty".