164015040 has 112 divisors (see below), whose sum is σ = 595164672. Its totient is φ = 37487616.

The previous prime is 164015003. The next prime is 164015051. The reversal of 164015040 is 40510461.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 164014998 and 164015016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5484 + ... + 18923.

Almost surely, 2^164015040 is an apocalyptic number.

164015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164015040 is an abundant number, since it is smaller than the sum of its proper divisors (431149632).

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

164015040 is a wasteful number, since it uses less digits than its factorization.

164015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24434 (or 24424 counting only the distinct ones).

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

The square root of 164015040 is about 12806.8356747481. The cubic root of 164015040 is about 547.3870995910.

The spelling of 164015040 in words is "one hundred sixty-four million, fifteen thousand, forty".