164570940 has 240 divisors, whose sum is σ = 556174080. Its totient is φ = 40642560.

The previous prime is 164570893. The next prime is 164570941. The reversal of 164570940 is 49075461.

164570940 is a `hidden beast` number, since 1 + 645 + 7 + 0 + 9 + 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 = 164570895 and 164570904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164570941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1456324 + ... + 1456436.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2^164570940 is an apocalyptic number.

164570940 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 164570940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

164570940 is an abundant number, since it is smaller than the sum of its proper divisors (391603140).

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

164570940 is a wasteful number, since it uses less digits than its factorization.

164570940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164570940 is about 12828.5205694188. The cubic root of 164570940 is about 548.0048261780.

The spelling of 164570940 in words is "one hundred sixty-four million, five hundred seventy thousand, nine hundred forty".