213601920 has 256 divisors, whose sum is σ = 813127680. Its totient is φ = 46632960.

The previous prime is 213601909. The next prime is 213601937. The reversal of 213601920 is 29106312.

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

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, 308775 + ... + 309465.

It is an arithmetic number, because the mean of its divisors is an integer number (3176280).

Almost surely, 2^213601920 is an apocalyptic number.

213601920 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 213601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406563840).

213601920 is an abundant number, since it is smaller than the sum of its proper divisors (599525760).

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

213601920 is a wasteful number, since it uses less digits than its factorization.

213601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 213601920 is about 14615.1264106747. The cubic root of 213601920 is about 597.7712872047.

The spelling of 213601920 in words is "two hundred thirteen million, six hundred one thousand, nine hundred twenty".