164262672 has 120 divisors (see below), whose sum is σ = 531573120. Its totient is φ = 46379520.

The previous prime is 164262671. The next prime is 164262701. The reversal of 164262672 is 276262461.

164262672 is a `hidden beast` number, since 1 + 642 + 6 + 2 + 6 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164262671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88797 + ... + 90627.

It is an arithmetic number, because the mean of its divisors is an integer number (4429776).

Almost surely, 2^164262672 is an apocalyptic number.

164262672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 12816×12817.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164262672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265786560).

164262672 is an abundant number, since it is smaller than the sum of its proper divisors (367310448).

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

164262672 is a wasteful number, since it uses less digits than its factorization.

164262672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

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

The square root of 164262672 is about 12816.4999902469. The cubic root of 164262672 is about 547.6624450730.

The spelling of 164262672 in words is "one hundred sixty-four million, two hundred sixty-two thousand, six hundred seventy-two".