164531640 has 384 divisors, whose sum is σ = 653529600. Its totient is φ = 32348160.

The previous prime is 164531639. The next prime is 164531669. The reversal of 164531640 is 46135461.

It is a super-2 number, since 2×164531640² = 54141321122179200, 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 = 164531598 and 164531607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2697210 + ... + 2697270.

It is an arithmetic number, because the mean of its divisors is an integer number (1701900).

Almost surely, 2^164531640 is an apocalyptic number.

164531640 is a gapful number since it is divisible by the number (10) 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 164531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326764800).

164531640 is an abundant number, since it is smaller than the sum of its proper divisors (488997960).

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

164531640 is a wasteful number, since it uses less digits than its factorization.

164531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 164531640 is about 12826.9887346953. The cubic root of 164531640 is about 547.9612010110.

The spelling of 164531640 in words is "one hundred sixty-four million, five hundred thirty-one thousand, six hundred forty".