20177164 has 96 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 7299072.

The previous prime is 20177161. The next prime is 20177177. The reversal of 20177164 is 46177102.

20177164 = T₂₈₇ + T₂₈₈ + ... + T₅₂₄.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20177161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207964 + ... + 208060.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 2^20177164 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 20177164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

20177164 is an abundant number, since it is smaller than the sum of its proper divisors (27239156).

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

20177164 is a wasteful number, since it uses less digits than its factorization.

20177164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 20177164 is about 4491.8998207885. The cubic root of 20177164 is about 272.2409017740.

The spelling of 20177164 in words is "twenty million, one hundred seventy-seven thousand, one hundred sixty-four".