164052792 has 48 divisors (see below), whose sum is σ = 445068000. Its totient is φ = 54590976.

The previous prime is 164052781. The next prime is 164052799. The reversal of 164052792 is 297250461.

164052792 is a `hidden beast` number, since 1 + 6 + 40 + 527 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164052799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50184 + ... + 53352.

It is an arithmetic number, because the mean of its divisors is an integer number (9272250).

Almost surely, 2^164052792 is an apocalyptic number.

164052792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164052792 is an abundant number, since it is smaller than the sum of its proper divisors (281015208).

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

164052792 is a wasteful number, since it uses less digits than its factorization.

164052792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164052792 is about 12808.3094903270. The cubic root of 164052792 is about 547.4290944643.

The spelling of 164052792 in words is "one hundred sixty-four million, fifty-two thousand, seven hundred ninety-two".