215962656 has 192 divisors, whose sum is σ = 711244800. Its totient is φ = 55858176.

The previous prime is 215962601. The next prime is 215962657. The reversal of 215962656 is 656269512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (215962657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 515215 + ... + 515633.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^215962656 is an apocalyptic number.

215962656 is a gapful number since it is divisible by the number (26) 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 215962656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

215962656 is an abundant number, since it is smaller than the sum of its proper divisors (495282144).

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

215962656 is a wasteful number, since it uses less digits than its factorization.

215962656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 215962656 is about 14695.6679331019. The cubic root of 215962656 is about 599.9654202293.

The spelling of 215962656 in words is "two hundred fifteen million, nine hundred sixty-two thousand, six hundred fifty-six".