215394816 has 320 divisors, whose sum is σ = 747952128. Its totient is φ = 53526528.

The previous prime is 215394799. The next prime is 215394821. The reversal of 215394816 is 618493512.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214815 + ... + 3214881.

Almost surely, 2^215394816 is an apocalyptic number.

215394816 is a gapful number since it is divisible by the number (26) 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 215394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373976064).

215394816 is an abundant number, since it is smaller than the sum of its proper divisors (532557312).

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

215394816 is a wasteful number, since it uses less digits than its factorization.

215394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 215394816 is about 14676.3352373813. The cubic root of 215394816 is about 599.4391202978.

It can be divided in two parts, 2153 and 94816, that added together give a palindrome (96969).

The spelling of 215394816 in words is "two hundred fifteen million, three hundred ninety-four thousand, eight hundred sixteen".