164726496 has 216 divisors, whose sum is σ = 535920840. Its totient is φ = 47900160.

The previous prime is 164726477. The next prime is 164726501. The reversal of 164726496 is 694627461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010511 + ... + 1010673.

It is an arithmetic number, because the mean of its divisors is an integer number (2481115).

Almost surely, 2^164726496 is an apocalyptic number.

164726496 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 164726496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267960420).

164726496 is an abundant number, since it is smaller than the sum of its proper divisors (371194344).

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

164726496 is a wasteful number, since it uses less digits than its factorization.

164726496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 164726496 is about 12834.5820344879. The cubic root of 164726496 is about 548.1774337968.

The spelling of 164726496 in words is "one hundred sixty-four million, seven hundred twenty-six thousand, four hundred ninety-six".