164850840 has 384 divisors, whose sum is σ = 705369600. Its totient is φ = 32348160.

The previous prime is 164850823. The next prime is 164850871. The reversal of 164850840 is 48058461.

164850840 is a `hidden beast` number, since 1 + 648 + 5 + 0 + 8 + 4 + 0 = 666.

164850840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 164850795 and 164850804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526524 + ... + 526836.

It is an arithmetic number, because the mean of its divisors is an integer number (1836900).

Almost surely, 2^164850840 is an apocalyptic number.

164850840 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 164850840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352684800).

164850840 is an abundant number, since it is smaller than the sum of its proper divisors (540518760).

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

164850840 is a wasteful number, since it uses less digits than its factorization.

164850840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 164850840 is about 12839.4252207799. The cubic root of 164850840 is about 548.3153299111.

The spelling of 164850840 in words is "one hundred sixty-four million, eight hundred fifty thousand, eight hundred forty".