215964672 has 264 divisors, whose sum is σ = 731810688. Its totient is φ = 55418880.

The previous prime is 215964611. The next prime is 215964673. The reversal of 215964672 is 276469512.

It is a tau number, because it is divible by the number of its divisors (264).

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

Its product of digits (181440) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215964673) 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 23 ways as a sum of consecutive naturals, for example, 2601943 + ... + 2602025.

Almost surely, 2^215964672 is an apocalyptic number.

215964672 is a gapful number since it is divisible by the number (22) 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 215964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365905344).

215964672 is an abundant number, since it is smaller than the sum of its proper divisors (515846016).

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

215964672 is a wasteful number, since it uses less digits than its factorization.

215964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 215964672 is about 14695.7365245843. The cubic root of 215964672 is about 599.9672871054.

The spelling of 215964672 in words is "two hundred fifteen million, nine hundred sixty-four thousand, six hundred seventy-two".