215380800 has 126 divisors (see below), whose sum is σ = 765565398. Its totient is φ = 57431040.

The previous prime is 215380799. The next prime is 215380819. The reversal of 215380800 is 8083512.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3154176 + 212226624 = 1776^2 + 14568^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6922 + ... + 21878.

Almost surely, 2^215380800 is an apocalyptic number.

215380800 is a gapful number since it is divisible by the number (20) 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 215380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382782699).

215380800 is an abundant number, since it is smaller than the sum of its proper divisors (550184598).

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

215380800 is a wasteful number, since it uses less digits than its factorization.

215380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 215380800 is about 14675.8577262114. The cubic root of 215380800 is about 599.4261179406.

The spelling of 215380800 in words is "two hundred fifteen million, three hundred eighty thousand, eight hundred".