216692064 has 96 divisors (see below), whose sum is σ = 669241440. Its totient is φ = 67977216.

The previous prime is 216692029. The next prime is 216692107. The reversal of 216692064 is 460296612.

216692064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7312 + ... + 22064.

It is an arithmetic number, because the mean of its divisors is an integer number (6971265).

Almost surely, 2^216692064 is an apocalyptic number.

216692064 is a gapful number since it is divisible by the number (24) 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 216692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334620720).

216692064 is an abundant number, since it is smaller than the sum of its proper divisors (452549376).

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

216692064 is a wasteful number, since it uses less digits than its factorization.

216692064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14789 (or 14775 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 216692064 is about 14720.4641231179. The cubic root of 216692064 is about 600.6401168412.

The spelling of 216692064 in words is "two hundred sixteen million, six hundred ninety-two thousand, sixty-four".