164365410 has 64 divisors (see below), whose sum is σ = 444248064. Its totient is φ = 38558400.

The previous prime is 164365403. The next prime is 164365427. The reversal of 164365410 is 14563461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197 + ... + 18263.

It is an arithmetic number, because the mean of its divisors is an integer number (6941376).

Almost surely, 2^164365410 is an apocalyptic number.

164365410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164365410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222124032).

164365410 is an abundant number, since it is smaller than the sum of its proper divisors (279882654).

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

164365410 is a wasteful number, since it uses less digits than its factorization.

164365410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16119.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 164365410 is about 12820.5074002553. The cubic root of 164365410 is about 547.7765996711.

The spelling of 164365410 in words is "one hundred sixty-four million, three hundred sixty-five thousand, four hundred ten".