164581632 has 90 divisors (see below), whose sum is σ = 490814478. Its totient is φ = 54853632.

The previous prime is 164581631. The next prime is 164581633. The reversal of 164581632 is 236185461.

It is a happy number.

164581632 is a `hidden beast` number, since 1 + 645 + 8 + 1 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164581631) and next prime (164581633).

It can be written as a sum of positive squares in only one way, i.e., 164249856 + 331776 = 12816^2 + 576^2 .

It is a super-2 number, since 2×164581632² = 54174227183566848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (164581631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16768 + ... + 24704.

Almost surely, 2^164581632 is an apocalyptic number.

164581632 is a gapful number since it is divisible by the number (12) 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 164581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245407239).

164581632 is an abundant number, since it is smaller than the sum of its proper divisors (326232846).

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

164581632 is an frugal number, since it uses more digits than its factorization.

164581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7942 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 164581632 is about 12828.9372903604. The cubic root of 164581632 is about 548.0166936858.

The spelling of 164581632 in words is "one hundred sixty-four million, five hundred eighty-one thousand, six hundred thirty-two".