164703456 has 144 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 53820288.

The previous prime is 164703443. The next prime is 164703467. The reversal of 164703456 is 654307461.

It is a happy number.

164703456 is a `hidden beast` number, since 1 + 647 + 0 + 3 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164703456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458605 + ... + 458963.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^164703456 is an apocalyptic number.

164703456 is a gapful number since it is divisible by the number (16) 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 164703456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

164703456 is an abundant number, since it is smaller than the sum of its proper divisors (330627744).

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

164703456 is an equidigital number, since it uses as much as digits as its factorization.

164703456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164703456 is about 12833.6844280978. The cubic root of 164703456 is about 548.1518750732.

The spelling of 164703456 in words is "one hundred sixty-four million, seven hundred three thousand, four hundred fifty-six".