216126792 has 320 divisors, whose sum is σ = 752716800. Its totient is φ = 56609280.

The previous prime is 216126749. The next prime is 216126803. The reversal of 216126792 is 297621612.

It is a super-2 number, since 2×216126792² = 93421580440422528, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4077838 + ... + 4077890.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 2^216126792 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 216126792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376358400).

216126792 is an abundant number, since it is smaller than the sum of its proper divisors (536590008).

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

216126792 is a wasteful number, since it uses less digits than its factorization.

216126792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 216126792 is about 14701.2513753082. The cubic root of 216126792 is about 600.1173770362.

The spelling of 216126792 in words is "two hundred sixteen million, one hundred twenty-six thousand, seven hundred ninety-two".