164501040 has 80 divisors (see below), whose sum is σ = 556321536. Its totient is φ = 39878400.

The previous prime is 164501017. The next prime is 164501093. The reversal of 164501040 is 40105461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×164501040² = 54121184322163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164500998 and 164501016.

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, 28516 + ... + 33795.

Almost surely, 2^164501040 is an apocalyptic number.

164501040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164501040 is an abundant number, since it is smaller than the sum of its proper divisors (391820496).

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

164501040 is a wasteful number, since it uses less digits than its factorization.

164501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62338 (or 62332 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 164501040 is about 12825.7958817377. The cubic root of 164501040 is about 547.9272285132.

The spelling of 164501040 in words is "one hundred sixty-four million, five hundred one thousand, forty".