216736000 has 144 divisors (see below), whose sum is σ = 582564528. Its totient is φ = 79872000.

The previous prime is 216735997. The next prime is 216736019. The reversal of 216736000 is 637612.

It can be written as a sum of positive squares in 8 ways, for example, as 135303424 + 81432576 = 11632^2 + 9024^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415740 + ... + 416260.

It is an arithmetic number, because the mean of its divisors is an integer number (4045587).

Almost surely, 2^216736000 is an apocalyptic number.

216736000 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 216736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291282264).

216736000 is an abundant number, since it is smaller than the sum of its proper divisors (365828528).

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

216736000 is an equidigital number, since it uses as much as digits as its factorization.

216736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 216736000 is about 14721.9563917300. The cubic root of 216736000 is about 600.6807089151.

The spelling of 216736000 in words is "two hundred sixteen million, seven hundred thirty-six thousand".