164702496 has 96 divisors (see below), whose sum is σ = 497992320. Its totient is φ = 46688256.

The previous prime is 164702491. The next prime is 164702497. The reversal of 164702496 is 694207461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (164702491) 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, 91170 + ... + 92958.

It is an arithmetic number, because the mean of its divisors is an integer number (5187420).

Almost surely, 2^164702496 is an apocalyptic number.

164702496 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 164702496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248996160).

164702496 is an abundant number, since it is smaller than the sum of its proper divisors (333289824).

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

164702496 is a wasteful number, since it uses less digits than its factorization.

164702496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 164702496 is about 12833.6470264691. The cubic root of 164702496 is about 548.1508100746.

The spelling of 164702496 in words is "one hundred sixty-four million, seven hundred two thousand, four hundred ninety-six".