164977020 has 192 divisors, whose sum is σ = 562222080. Its totient is φ = 39916800.

The previous prime is 164976983. The next prime is 164977031. The reversal of 164977020 is 20779461.

It is a happy number.

164977020 is a `hidden beast` number, since 1 + 649 + 7 + 7 + 0 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498255 + ... + 498585.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 2^164977020 is an apocalyptic number.

164977020 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 164977020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111040).

164977020 is an abundant number, since it is smaller than the sum of its proper divisors (397245060).

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

164977020 is a wasteful number, since it uses less digits than its factorization.

164977020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 164977020 is about 12844.3380522314. The cubic root of 164977020 is about 548.4551912622.

The spelling of 164977020 in words is "one hundred sixty-four million, nine hundred seventy-seven thousand, twenty".