213995520 has 312 divisors, whose sum is σ = 787122336. Its totient is φ = 55738368.

The previous prime is 213995479. The next prime is 213995527. The reversal of 213995520 is 25599312.

It is a happy number.

213995520 is a `hidden beast` number, since 2 + 13 + 99 + 552 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213995527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976619 + ... + 4976661.

It is an arithmetic number, because the mean of its divisors is an integer number (2522828).

Almost surely, 2^213995520 is an apocalyptic number.

213995520 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 213995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393561168).

213995520 is an abundant number, since it is smaller than the sum of its proper divisors (573126816).

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

213995520 is an frugal number, since it uses more digits than its factorization.

213995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 213995520 is about 14628.5857142787. The cubic root of 213995520 is about 598.1382289897.

The spelling of 213995520 in words is "two hundred thirteen million, nine hundred ninety-five thousand, five hundred twenty".