215879040 has 384 divisors, whose sum is σ = 850802400. Its totient is φ = 51425280.

The previous prime is 215879011. The next prime is 215879047. The reversal of 215879040 is 40978512.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×215879040² = 93207519822643200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 215878986 and 215879004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215879047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6963825 + ... + 6963855.

Almost surely, 2^215879040 is an apocalyptic number.

215879040 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 215879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425401200).

215879040 is an abundant number, since it is smaller than the sum of its proper divisors (634923360).

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

215879040 is a wasteful number, since it uses less digits than its factorization.

215879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 215879040 is about 14692.8227376498. The cubic root of 215879040 is about 599.8879790868.

The spelling of 215879040 in words is "two hundred fifteen million, eight hundred seventy-nine thousand, forty".