164688384 has 240 divisors, whose sum is σ = 542697408. Its totient is φ = 43450368.

The previous prime is 164688383. The next prime is 164688421. The reversal of 164688384 is 483886461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164688383) 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, 3107302 + ... + 3107354.

Almost surely, 2^164688384 is an apocalyptic number.

164688384 is a gapful number since it is divisible by the number (14) 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 164688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271348704).

164688384 is an abundant number, since it is smaller than the sum of its proper divisors (378009024).

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

164688384 is an equidigital number, since it uses as much as digits as its factorization.

164688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 164688384 is about 12833.0972099490. The cubic root of 164688384 is about 548.1351541185.

The spelling of 164688384 in words is "one hundred sixty-four million, six hundred eighty-eight thousand, three hundred eighty-four".