164300840 has 64 divisors (see below), whose sum is σ = 410184000. Its totient is φ = 58723840.

The previous prime is 164300827. The next prime is 164300897. The reversal of 164300840 is 48003461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22796 + ... + 29124.

It is an arithmetic number, because the mean of its divisors is an integer number (6409125).

Almost surely, 2^164300840 is an apocalyptic number.

164300840 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 164300840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205092000).

164300840 is an abundant number, since it is smaller than the sum of its proper divisors (245883160).

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

164300840 is a wasteful number, since it uses less digits than its factorization.

164300840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164300840 is about 12817.9889218239. The cubic root of 164300840 is about 547.7048599872.

The spelling of 164300840 in words is "one hundred sixty-four million, three hundred thousand, eight hundred forty".