164653440 has 128 divisors (see below), whose sum is σ = 599857920. Its totient is φ = 37632000.

The previous prime is 164653439. The next prime is 164653501. The reversal of 164653440 is 44356461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×164653440² = 54221510607667200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7315 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (4686390).

Almost surely, 2^164653440 is an apocalyptic number.

164653440 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 164653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299928960).

164653440 is an abundant number, since it is smaller than the sum of its proper divisors (435204480).

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

164653440 is a wasteful number, since it uses less digits than its factorization.

164653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 164653440 is about 12831.7356581251. The cubic root of 164653440 is about 548.0963831393.

The spelling of 164653440 in words is "one hundred sixty-four million, six hundred fifty-three thousand, four hundred forty".