216757440 has 168 divisors, whose sum is σ = 756501408. Its totient is φ = 56954880.

The previous prime is 216757417. The next prime is 216757441. The reversal of 216757440 is 44757612.

216757440 is a `hidden beast` number, since 2 + 167 + 57 + 440 = 666.

216757440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 216757395 and 216757404.

It is not an unprimeable number, because it can be changed into a prime (216757441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209725 + ... + 210755.

Almost surely, 2^216757440 is an apocalyptic number.

216757440 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 216757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378250704).

216757440 is an abundant number, since it is smaller than the sum of its proper divisors (539743968).

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

216757440 is a wasteful number, since it uses less digits than its factorization.

216757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 216757440 is about 14722.6845378144. The cubic root of 216757440 is about 600.7005151459.

The spelling of 216757440 in words is "two hundred sixteen million, seven hundred fifty-seven thousand, four hundred forty".