164651360 has 48 divisors (see below), whose sum is σ = 391230000. Its totient is φ = 65481216.

The previous prime is 164651351. The next prime is 164651363. The reversal of 164651360 is 63156461.

It is a super-2 number, since 2×164651360² = 54220140699699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164651363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25766 + ... + 31514.

It is an arithmetic number, because the mean of its divisors is an integer number (8150625).

Almost surely, 2^164651360 is an apocalyptic number.

164651360 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 164651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195615000).

164651360 is an abundant number, since it is smaller than the sum of its proper divisors (226578640).

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

164651360 is a wasteful number, since it uses less digits than its factorization.

164651360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 164651360 is about 12831.6546088180. The cubic root of 164651360 is about 548.0940751700.

The spelling of 164651360 in words is "one hundred sixty-four million, six hundred fifty-one thousand, three hundred sixty".