164026632 has 96 divisors (see below), whose sum is σ = 515188800. Its totient is φ = 42599040.

The previous prime is 164026631. The next prime is 164026633. The reversal of 164026632 is 236620461.

164026632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164026631) and next prime (164026633).

It is a self number, because there is not a number n which added to its sum of digits gives 164026632.

It is not an unprimeable number, because it can be changed into a prime (164026631) 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, 16294 + ... + 24362.

It is an arithmetic number, because the mean of its divisors is an integer number (5366550).

Almost surely, 2^164026632 is an apocalyptic number.

164026632 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 164026632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257594400).

164026632 is an abundant number, since it is smaller than the sum of its proper divisors (351162168).

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

164026632 is a wasteful number, since it uses less digits than its factorization.

164026632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 164026632 is about 12807.2882375622. The cubic root of 164026632 is about 547.3999950786.

The spelling of 164026632 in words is "one hundred sixty-four million, twenty-six thousand, six hundred thirty-two".