164631840 has 96 divisors (see below), whose sum is σ = 536518080. Its totient is φ = 42384384.

The previous prime is 164631839. The next prime is 164631871. The reversal of 164631840 is 48136461.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8007 + ... + 19833.

It is an arithmetic number, because the mean of its divisors is an integer number (5588730).

Almost surely, 2^164631840 is an apocalyptic number.

164631840 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 164631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268259040).

164631840 is an abundant number, since it is smaller than the sum of its proper divisors (371886240).

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

164631840 is a wasteful number, since it uses less digits than its factorization.

164631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 164631840 is about 12830.8939672963. The cubic root of 164631840 is about 548.0724148181.

The spelling of 164631840 in words is "one hundred sixty-four million, six hundred thirty-one thousand, eight hundred forty".