164457020 has 96 divisors (see below), whose sum is σ = 429475200. Its totient is φ = 51508224.

The previous prime is 164456939. The next prime is 164457023. The reversal of 164457020 is 20754461.

It is a super-2 number, since 2×164457020² = 54092222854560800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164457023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197966 + ... + 198794.

It is an arithmetic number, because the mean of its divisors is an integer number (4473700).

Almost surely, 2^164457020 is an apocalyptic number.

164457020 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 164457020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214737600).

164457020 is an abundant number, since it is smaller than the sum of its proper divisors (265018180).

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

164457020 is a wasteful number, since it uses less digits than its factorization.

164457020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 164457020 is about 12824.0796940755. The cubic root of 164457020 is about 547.8783495752.

The spelling of 164457020 in words is "one hundred sixty-four million, four hundred fifty-seven thousand, twenty".