216077792 has 48 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 92312448.

The previous prime is 216077791. The next prime is 216077821. The reversal of 216077792 is 297770612.

It is a super-2 number, since 2×216077792² = 93379224391190528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216077791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79073 + ... + 81759.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^216077792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216077792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

216077792 is an abundant number, since it is smaller than the sum of its proper divisors (271632928).

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

216077792 is a wasteful number, since it uses less digits than its factorization.

216077792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 216077792 is about 14699.5847560399. The cubic root of 216077792 is about 600.0720209842.

The spelling of 216077792 in words is "two hundred sixteen million, seventy-seven thousand, seven hundred ninety-two".