215688000 has 448 divisors, whose sum is σ = 836858880. Its totient is φ = 48384000.

The previous prime is 215687977. The next prime is 215688007. The reversal of 215688000 is 886512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215688007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5015979 + ... + 5016021.

Almost surely, 2^215688000 is an apocalyptic number.

215688000 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 215688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418429440).

215688000 is an abundant number, since it is smaller than the sum of its proper divisors (621170880).

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

215688000 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 215688000 = (100828650)₁₁.

215688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 215688000 is about 14686.3201653784. The cubic root of 215688000 is about 599.7109719047.

The spelling of 215688000 in words is "two hundred fifteen million, six hundred eighty-eight thousand".