216170640 has 480 divisors, whose sum is σ = 933154560. Its totient is φ = 44900352.

The previous prime is 216170639. The next prime is 216170651. The reversal of 216170640 is 46071612.

216170640 is a `hidden beast` number, since 2 + 1 + 6 + 17 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7454146 + ... + 7454174.

It is an arithmetic number, because the mean of its divisors is an integer number (1944072).

Almost surely, 2^216170640 is an apocalyptic number.

216170640 is a gapful number since it is divisible by the number (20) 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 216170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466577280).

216170640 is an abundant number, since it is smaller than the sum of its proper divisors (716983920).

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

216170640 is a wasteful number, since it uses less digits than its factorization.

216170640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 216170640 is about 14702.7426012972. The cubic root of 216170640 is about 600.1579584116.

The spelling of 216170640 in words is "two hundred sixteen million, one hundred seventy thousand, six hundred forty".