164287400 has 72 divisors (see below), whose sum is σ = 394942170. Its totient is φ = 63509760.

The previous prime is 164287399. The next prime is 164287429. The reversal of 164287400 is 4782461.

164287400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 293764 + 163993636 = 542^2 + 12806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1102526 + ... + 1102674.

Almost surely, 2^164287400 is an apocalyptic number.

164287400 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 164287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197471085).

164287400 is an abundant number, since it is smaller than the sum of its proper divisors (230654770).

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

164287400 is a wasteful number, since it uses less digits than its factorization.

164287400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 164287400 is about 12817.4646478935. The cubic root of 164287400 is about 547.6899252815.

The spelling of 164287400 in words is "one hundred sixty-four million, two hundred eighty-seven thousand, four hundred".