216507720 has 384 divisors, whose sum is σ = 815109120. Its totient is φ = 45619200.

The previous prime is 216507701. The next prime is 216507737. The reversal of 216507720 is 27705612.

216507720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5851542 + ... + 5851578.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 2^216507720 is an apocalyptic number.

216507720 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 216507720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407554560).

216507720 is an abundant number, since it is smaller than the sum of its proper divisors (598601400).

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

216507720 is a wasteful number, since it uses less digits than its factorization.

216507720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 216507720 is about 14714.2013035027. The cubic root of 216507720 is about 600.4697432506.

The spelling of 216507720 in words is "two hundred sixteen million, five hundred seven thousand, seven hundred twenty".