215201520 has 120 divisors (see below), whose sum is σ = 726154416. Its totient is φ = 57114624.

The previous prime is 215201513. The next prime is 215201527. The reversal of 215201520 is 25102512.

It is an interprime number because it is at equal distance from previous prime (215201513) and next prime (215201527).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 215201493 and 215201502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215201527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184459 + ... + 185621.

Almost surely, 2^215201520 is an apocalyptic number.

215201520 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 215201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363077208).

215201520 is an abundant number, since it is smaller than the sum of its proper divisors (510952896).

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

215201520 is a wasteful number, since it uses less digits than its factorization.

215201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 215201520 is about 14669.7484641012. The cubic root of 215201520 is about 599.2597537681.

The spelling of 215201520 in words is "two hundred fifteen million, two hundred one thousand, five hundred twenty".