215552064 has 224 divisors, whose sum is σ = 715751680. Its totient is φ = 56070144.

The previous prime is 215552059. The next prime is 215552069. The reversal of 215552064 is 460255512.

It is an interprime number because it is at equal distance from previous prime (215552059) and next prime (215552069).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (215552069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952732 + ... + 2952804.

It is an arithmetic number, because the mean of its divisors is an integer number (3195320).

Almost surely, 2^215552064 is an apocalyptic number.

215552064 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 215552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357875840).

215552064 is an abundant number, since it is smaller than the sum of its proper divisors (500199616).

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

215552064 is an equidigital number, since it uses as much as digits as its factorization.

215552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 215552064 is about 14681.6914556872. The cubic root of 215552064 is about 599.5849574101.

The spelling of 215552064 in words is "two hundred fifteen million, five hundred fifty-two thousand, sixty-four".