164476620 has 144 divisors (see below), whose sum is σ = 622073088. Its totient is φ = 34174080.

The previous prime is 164476619. The next prime is 164476633. The reversal of 164476620 is 26674461.

164476620 is a `hidden beast` number, since 1 + 644 + 7 + 6 + 6 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7927 + ... + 19793.

It is an arithmetic number, because the mean of its divisors is an integer number (4319952).

Almost surely, 2^164476620 is an apocalyptic number.

164476620 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 164476620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311036544).

164476620 is an abundant number, since it is smaller than the sum of its proper divisors (457596468).

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

164476620 is a wasteful number, since it uses less digits than its factorization.

164476620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11900 (or 11895 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164476620 is about 12824.8438586986. The cubic root of 164476620 is about 547.9001141049.

The spelling of 164476620 in words is "one hundred sixty-four million, four hundred seventy-six thousand, six hundred twenty".