216426672 has 240 divisors, whose sum is σ = 766022400. Its totient is φ = 55411200.

The previous prime is 216426671. The next prime is 216426703. The reversal of 216426672 is 276624612.

216426672 is a `hidden beast` number, since 2 + 1 + 642 + 6 + 6 + 7 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (216426671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1452454 + ... + 1452602.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^216426672 is an apocalyptic number.

216426672 is a gapful number since it is divisible by the number (22) 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 216426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383011200).

216426672 is an abundant number, since it is smaller than the sum of its proper divisors (549595728).

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

216426672 is a wasteful number, since it uses less digits than its factorization.

216426672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 216426672 is about 14711.4469716612. The cubic root of 216426672 is about 600.3948068223.

The spelling of 216426672 in words is "two hundred sixteen million, four hundred twenty-six thousand, six hundred seventy-two".