164496528 has 240 divisors, whose sum is σ = 579576000. Its totient is φ = 44416512.

The previous prime is 164496517. The next prime is 164496559. The reversal of 164496528 is 825694461.

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, 401988 + ... + 402396.

It is an arithmetic number, because the mean of its divisors is an integer number (2414900).

Almost surely, 2^164496528 is an apocalyptic number.

164496528 is a gapful number since it is divisible by the number (18) 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 164496528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289788000).

164496528 is an abundant number, since it is smaller than the sum of its proper divisors (415079472).

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

164496528 is a wasteful number, since it uses less digits than its factorization.

164496528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 440 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 164496528 is about 12825.6199850144. The cubic root of 164496528 is about 547.9222188787.

The spelling of 164496528 in words is "one hundred sixty-four million, four hundred ninety-six thousand, five hundred twenty-eight".