215953920 has 480 divisors, whose sum is σ = 929440512. Its totient is φ = 45121536.

The previous prime is 215953919. The next prime is 215953921. The reversal of 215953920 is 29359512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (215953919) and next prime (215953921).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (215953921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096589 + ... + 2096691.

Almost surely, 2^215953920 is an apocalyptic number.

215953920 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 215953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464720256).

215953920 is an abundant number, since it is smaller than the sum of its proper divisors (713486592).

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

215953920 is a wasteful number, since it uses less digits than its factorization.

215953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

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

The square root of 215953920 is about 14695.3706996455. The cubic root of 215953920 is about 599.9573302989.

The spelling of 215953920 in words is "two hundred fifteen million, nine hundred fifty-three thousand, nine hundred twenty".