216526080 has 144 divisors (see below), whose sum is σ = 699048000. Its totient is φ = 57114624.

The previous prime is 216526069. The next prime is 216526091. The reversal of 216526080 is 80625612.

216526080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216526069) and next prime (216526091).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 433671 + ... + 434169.

It is an arithmetic number, because the mean of its divisors is an integer number (4854500).

Almost surely, 2^216526080 is an apocalyptic number.

216526080 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 216526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349524000).

216526080 is an abundant number, since it is smaller than the sum of its proper divisors (482521920).

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

216526080 is a wasteful number, since it uses less digits than its factorization.

216526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 216526080 is about 14714.8251773509. The cubic root of 216526080 is about 600.4867161833.

The spelling of 216526080 in words is "two hundred sixteen million, five hundred twenty-six thousand, eighty".