164509296 has 160 divisors (see below), whose sum is σ = 519728640. Its totient is φ = 43794432.

The previous prime is 164509273. The next prime is 164509337. The reversal of 164509296 is 692905461.

It is a happy number.

164509296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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, 465856 + ... + 466208.

It is an arithmetic number, because the mean of its divisors is an integer number (3248304).

Almost surely, 2^164509296 is an apocalyptic number.

164509296 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 164509296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259864320).

164509296 is an abundant number, since it is smaller than the sum of its proper divisors (355219344).

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

164509296 is a wasteful number, since it uses less digits than its factorization.

164509296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 164509296 is about 12826.1177290714. The cubic root of 164509296 is about 547.9363948413.

The spelling of 164509296 in words is "one hundred sixty-four million, five hundred nine thousand, two hundred ninety-six".