213931520 has 160 divisors (see below), whose sum is σ = 572749056. Its totient is φ = 75980800.

The previous prime is 213931517. The next prime is 213931561. The reversal of 213931520 is 25139312.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 213931520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999307 + ... + 1999413.

Almost surely, 2^213931520 is an apocalyptic number.

213931520 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 213931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286374528).

213931520 is an abundant number, since it is smaller than the sum of its proper divisors (358817536).

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

213931520 is a wasteful number, since it uses less digits than its factorization.

213931520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 213931520 is about 14626.3980528358. The cubic root of 213931520 is about 598.0785943090.

The spelling of 213931520 in words is "two hundred thirteen million, nine hundred thirty-one thousand, five hundred twenty".