213552240 has 160 divisors (see below), whose sum is σ = 753808896. Its totient is φ = 49505280.

The previous prime is 213552223. The next prime is 213552253. The reversal of 213552240 is 42255312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213552240.

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 31 ways as a sum of consecutive naturals, for example, 58962 + ... + 62478.

Almost surely, 2^213552240 is an apocalyptic number.

213552240 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 213552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376904448).

213552240 is an abundant number, since it is smaller than the sum of its proper divisors (540256656).

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

213552240 is a wasteful number, since it uses less digits than its factorization.

213552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 213552240 is about 14613.4267028647. The cubic root of 213552240 is about 597.7249399618.

The spelling of 213552240 in words is "two hundred thirteen million, five hundred fifty-two thousand, two hundred forty".