164324640 has 48 divisors (see below), whose sum is σ = 517624128. Its totient is φ = 43819776.

The previous prime is 164324609. The next prime is 164324653. The reversal of 164324640 is 46423461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×164324640² = 54005174622259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164324598 and 164324607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170692 + ... + 171651.

It is an arithmetic number, because the mean of its divisors is an integer number (10783836).

Almost surely, 2^164324640 is an apocalyptic number.

164324640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164324640 is an abundant number, since it is smaller than the sum of its proper divisors (353299488).

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

164324640 is a wasteful number, since it uses less digits than its factorization.

164324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342361 (or 342353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 164324640 is about 12818.9172709711. The cubic root of 164324640 is about 547.7313048637.

The spelling of 164324640 in words is "one hundred sixty-four million, three hundred twenty-four thousand, six hundred forty".