164860032 has 64 divisors (see below), whose sum is σ = 439464960. Its totient is φ = 54758400.

The previous prime is 164860027. The next prime is 164860037. The reversal of 164860032 is 230068461.

It is an interprime number because it is at equal distance from previous prime (164860027) and next prime (164860037).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (164860037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142657 + ... + 143807.

It is an arithmetic number, because the mean of its divisors is an integer number (6866640).

Almost surely, 2^164860032 is an apocalyptic number.

164860032 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 164860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219732480).

164860032 is an abundant number, since it is smaller than the sum of its proper divisors (274604928).

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

164860032 is a wasteful number, since it uses less digits than its factorization.

164860032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164860032 is about 12839.7831757394. The cubic root of 164860032 is about 548.3255209841.

The spelling of 164860032 in words is "one hundred sixty-four million, eight hundred sixty thousand, thirty-two".