215197920 has 288 divisors, whose sum is σ = 863448768. Its totient is φ = 47775744.

The previous prime is 215197919. The next prime is 215197943. The reversal of 215197920 is 29791512.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 372672 + ... + 373248.

It is an arithmetic number, because the mean of its divisors is an integer number (2998086).

Almost surely, 2^215197920 is an apocalyptic number.

215197920 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 215197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431724384).

215197920 is an abundant number, since it is smaller than the sum of its proper divisors (648250848).

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

215197920 is a wasteful number, since it uses less digits than its factorization.

215197920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 215197920 is about 14669.6257620977. The cubic root of 215197920 is about 599.2564121759.

It can be divided in two parts, 215 and 197920, that added together give a triangular number (198135 = T₆₂₉).

The spelling of 215197920 in words is "two hundred fifteen million, one hundred ninety-seven thousand, nine hundred twenty".