164616840 has 64 divisors (see below), whose sum is σ = 548726400. Its totient is φ = 43897536.

The previous prime is 164616833. The next prime is 164616883. The reversal of 164616840 is 48616461.

164616840 is a `hidden beast` number, since 1 + 646 + 1 + 6 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164616795 and 164616804.

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, 75132 + ... + 77291.

It is an arithmetic number, because the mean of its divisors is an integer number (8573850).

Almost surely, 2^164616840 is an apocalyptic number.

164616840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164616840 is an abundant number, since it is smaller than the sum of its proper divisors (384109560).

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

164616840 is a wasteful number, since it uses less digits than its factorization.

164616840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152443 (or 152433 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164616840 is about 12830.3094272897. The cubic root of 164616840 is about 548.0557689172.

The spelling of 164616840 in words is "one hundred sixty-four million, six hundred sixteen thousand, eight hundred forty".