164267488 has 96 divisors (see below), whose sum is σ = 406667520. Its totient is φ = 63452160.

The previous prime is 164267473. The next prime is 164267497. The reversal of 164267488 is 884762461.

164267488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164267488² = 53967615227660288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401428 + ... + 401836.

It is an arithmetic number, because the mean of its divisors is an integer number (4236120).

Almost surely, 2^164267488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203333760).

164267488 is an abundant number, since it is smaller than the sum of its proper divisors (242400032).

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

164267488 is a wasteful number, since it uses less digits than its factorization.

164267488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 164267488 is about 12816.6878716773. The cubic root of 164267488 is about 547.6677973066.

The spelling of 164267488 in words is "one hundred sixty-four million, two hundred sixty-seven thousand, four hundred eighty-eight".