213518240 has 48 divisors (see below), whose sum is σ = 543244968. Its totient is φ = 78836736.

The previous prime is 213518167. The next prime is 213518251. The reversal of 213518240 is 42815312.

It can be written as a sum of positive squares in 4 ways, for example, as 144096016 + 69422224 = 12004^2 + 8332^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49247 + ... + 53406.

Almost surely, 2^213518240 is an apocalyptic number.

213518240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213518240 is an abundant number, since it is smaller than the sum of its proper divisors (329726728).

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

213518240 is a wasteful number, since it uses less digits than its factorization.

213518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102681 (or 102673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 213518240 is about 14612.2633428227. The cubic root of 213518240 is about 597.6932166911.

The spelling of 213518240 in words is "two hundred thirteen million, five hundred eighteen thousand, two hundred forty".