164177240 has 48 divisors (see below), whose sum is σ = 381788640. Its totient is φ = 63537600.

The previous prime is 164177231. The next prime is 164177257. The reversal of 164177240 is 42771461.

It is a super-2 number, since 2×164177240² = 53908332268035200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164177197 and 164177206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36305 + ... + 40575.

It is an arithmetic number, because the mean of its divisors is an integer number (7953930).

Almost surely, 2^164177240 is an apocalyptic number.

164177240 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 164177240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190894320).

164177240 is an abundant number, since it is smaller than the sum of its proper divisors (217611400).

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

164177240 is a wasteful number, since it uses less digits than its factorization.

164177240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 164177240 is about 12813.1666655827. The cubic root of 164177240 is about 547.5674833244.

The spelling of 164177240 in words is "one hundred sixty-four million, one hundred seventy-seven thousand, two hundred forty".