164004540 has 48 divisors (see below), whose sum is σ = 524815872. Its totient is φ = 37486656.

The previous prime is 164004517. The next prime is 164004563. The reversal of 164004540 is 45400461.

It is an interprime number because it is at equal distance from previous prime (164004517) and next prime (164004563).

It is a super-2 number, since 2×164004540² = 53794978281223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164004540.

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, 194824 + ... + 195663.

It is an arithmetic number, because the mean of its divisors is an integer number (10933664).

Almost surely, 2^164004540 is an apocalyptic number.

164004540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164004540 is an abundant number, since it is smaller than the sum of its proper divisors (360811332).

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

164004540 is a wasteful number, since it uses less digits than its factorization.

164004540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390506 (or 390504 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164004540 is about 12806.4257308587. The cubic root of 164004540 is about 547.3754183712.

The spelling of 164004540 in words is "one hundred sixty-four million, four thousand, five hundred forty".