213968520 has 128 divisors (see below), whose sum is σ = 724118400. Its totient is φ = 56187648.

The previous prime is 213968507. The next prime is 213968533. The reversal of 213968520 is 25869312.

It is an interprime number because it is at equal distance from previous prime (213968507) and next prime (213968533).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70882 + ... + 73838.

It is an arithmetic number, because the mean of its divisors is an integer number (5657175).

Almost surely, 2^213968520 is an apocalyptic number.

213968520 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 213968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362059200).

213968520 is an abundant number, since it is smaller than the sum of its proper divisors (510149880).

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

213968520 is a wasteful number, since it uses less digits than its factorization.

213968520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 213968520 is about 14627.6628345064. The cubic root of 213968520 is about 598.1130720590.

The spelling of 213968520 in words is "two hundred thirteen million, nine hundred sixty-eight thousand, five hundred twenty".