164144040 has 64 divisors (see below), whose sum is σ = 518356800. Its totient is φ = 41467392.

The previous prime is 164144023. The next prime is 164144041. The reversal of 164144040 is 40441461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164144040.

It is not an unprimeable number, because it can be changed into a prime (164144041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33717 + ... + 38276.

It is an arithmetic number, because the mean of its divisors is an integer number (8099325).

Almost surely, 2^164144040 is an apocalyptic number.

164144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164144040 is an abundant number, since it is smaller than the sum of its proper divisors (354212760).

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

164144040 is a wasteful number, since it uses less digits than its factorization.

164144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72026 (or 72022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 164144040 is about 12811.8710577339. The cubic root of 164144040 is about 547.5305710500.

The spelling of 164144040 in words is "one hundred sixty-four million, one hundred forty-four thousand, forty".