164513580 has 144 divisors (see below), whose sum is σ = 584672256. Its totient is φ = 34177920.

The previous prime is 164513579. The next prime is 164513633. The reversal of 164513580 is 85315461.

164513580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 29797 + ... + 34883.

It is an arithmetic number, because the mean of its divisors is an integer number (4060224).

Almost surely, 2^164513580 is an apocalyptic number.

164513580 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 164513580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292336128).

164513580 is an abundant number, since it is smaller than the sum of its proper divisors (420158676).

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

164513580 is a wasteful number, since it uses less digits than its factorization.

164513580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 164513580 is about 12826.2847309733. The cubic root of 164513580 is about 547.9411510855.

It can be divided in two parts, 1645 and 13580, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 164513580 in words is "one hundred sixty-four million, five hundred thirteen thousand, five hundred eighty".