215680464 has 60 divisors (see below), whose sum is σ = 610424100. Its totient is φ = 71081472.

The previous prime is 215680429. The next prime is 215680469. The reversal of 215680464 is 464086512.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 197121600 = 4308^2 + 14040^2 .

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 (215680469) 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 11 ways as a sum of consecutive naturals, for example, 4402 + ... + 21230.

It is an arithmetic number, because the mean of its divisors is an integer number (10173735).

Almost surely, 2^215680464 is an apocalyptic number.

215680464 is a gapful number since it is divisible by the number (24) 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 215680464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305212050).

215680464 is an abundant number, since it is smaller than the sum of its proper divisors (394743636).

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

215680464 is a wasteful number, since it uses less digits than its factorization.

215680464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16923 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 215680464 is about 14686.0635978468. The cubic root of 215680464 is about 599.7039873182.

The spelling of 215680464 in words is "two hundred fifteen million, six hundred eighty thousand, four hundred sixty-four".