216942516 has 96 divisors (see below), whose sum is σ = 652538880. Its totient is φ = 61044192.

The previous prime is 216942511. The next prime is 216942547. The reversal of 216942516 is 615249612.

216942516 is a `hidden beast` number, since 216 + 9 + 425 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216942511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48511 + ... + 52793.

It is an arithmetic number, because the mean of its divisors is an integer number (6797280).

Almost surely, 2^216942516 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 216942516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326269440).

216942516 is an abundant number, since it is smaller than the sum of its proper divisors (435596364).

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

216942516 is a wasteful number, since it uses less digits than its factorization.

216942516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4362 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 216942516 is about 14728.9685993283. The cubic root of 216942516 is about 600.8714337260.

The spelling of 216942516 in words is "two hundred sixteen million, nine hundred forty-two thousand, five hundred sixteen".