164113840 has 80 divisors (see below), whose sum is σ = 418473216. Its totient is φ = 59360000.

The previous prime is 164113837. The next prime is 164113847. The reversal of 164113840 is 48311461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 164113799 and 164113808.

It is not an unprimeable number, because it can be changed into a prime (164113847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220509 + ... + 221251.

Almost surely, 2^164113840 is an apocalyptic number.

164113840 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 164113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236608).

164113840 is an abundant number, since it is smaller than the sum of its proper divisors (254359376).

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

164113840 is a wasteful number, since it uses less digits than its factorization.

164113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 164113840 is about 12810.6924090777. The cubic root of 164113840 is about 547.4969898989.

The spelling of 164113840 in words is "one hundred sixty-four million, one hundred thirteen thousand, eight hundred forty".