164264760 has 240 divisors, whose sum is σ = 608315400. Its totient is φ = 39726720.

The previous prime is 164264759. The next prime is 164264777. The reversal of 164264760 is 67462461.

164264760 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 647 + 6 + 0 = 666.

It is a super-2 number, since 2×164264760² = 53965822755715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 391831 + ... + 392249.

Almost surely, 2^164264760 is an apocalyptic number.

164264760 is a gapful number since it is divisible by the number (10) 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 164264760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304157700).

164264760 is an abundant number, since it is smaller than the sum of its proper divisors (444050640).

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

164264760 is a wasteful number, since it uses less digits than its factorization.

164264760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164264760 is about 12816.5814474843. The cubic root of 164264760 is about 547.6647655725.

The spelling of 164264760 in words is "one hundred sixty-four million, two hundred sixty-four thousand, seven hundred sixty".