164166400 has 108 divisors (see below), whose sum is σ = 411739272. Its totient is φ = 64798720.

The previous prime is 164166397. The next prime is 164166427. The reversal of 164166400 is 4661461.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723087 + ... + 723313.

Almost surely, 2^164166400 is an apocalyptic number.

164166400 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 164166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205869636).

164166400 is an abundant number, since it is smaller than the sum of its proper divisors (247572872).

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

164166400 is a wasteful number, since it uses less digits than its factorization.

164166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 164166400 is about 12812.7436562198. The cubic root of 164166400 is about 547.5554317916. Note that the first 3 decimals are identical.

The spelling of 164166400 in words is "one hundred sixty-four million, one hundred sixty-six thousand, four hundred".