216292076 has 72 divisors (see below), whose sum is σ = 517352976. Its totient is φ = 77777280.

The previous prime is 216292061. The next prime is 216292081. The reversal of 216292076 is 670292612.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24170 + ... + 31886.

It is an arithmetic number, because the mean of its divisors is an integer number (7185458).

Almost surely, 2^216292076 is an apocalyptic number.

216292076 is a gapful number since it is divisible by the number (26) 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 216292076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258676488).

216292076 is an abundant number, since it is smaller than the sum of its proper divisors (301060900).

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

216292076 is a wasteful number, since it uses less digits than its factorization.

216292076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 216292076 is about 14706.8717271893. The cubic root of 216292076 is about 600.2703189352.

It can be divided in two parts, 216 and 292076, that added together give a palindrome (292292).

The spelling of 216292076 in words is "two hundred sixteen million, two hundred ninety-two thousand, seventy-six".