164769120 has 192 divisors, whose sum is σ = 590768640. Its totient is φ = 42868224.

The previous prime is 164769091. The next prime is 164769131. The reversal of 164769120 is 21967461.

164769120 is a `hidden beast` number, since 1 + 647 + 6 + 9 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185317 + ... + 186203.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 2^164769120 is an apocalyptic number.

164769120 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 164769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295384320).

164769120 is an abundant number, since it is smaller than the sum of its proper divisors (425999520).

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

164769120 is a wasteful number, since it uses less digits than its factorization.

164769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 164769120 is about 12836.2424408391. The cubic root of 164769120 is about 548.2247111535.

The spelling of 164769120 in words is "one hundred sixty-four million, seven hundred sixty-nine thousand, one hundred twenty".