90801216 has 224 divisors, whose sum is σ = 309432960. Its totient is φ = 25804800.

The previous prime is 90801187. The next prime is 90801223. The reversal of 90801216 is 61210809.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90801216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322996 + ... + 323276.

Almost surely, 2^90801216 is an apocalyptic number.

90801216 is a gapful number since it is divisible by the number (96) 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 90801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154716480).

90801216 is an abundant number, since it is smaller than the sum of its proper divisors (218631744).

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

90801216 is a wasteful number, since it uses less digits than its factorization.

90801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 90801216 is about 9528.9672053166. The cubic root of 90801216 is about 449.4663897169.

It can be divided in two parts, 9080 and 1216, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 90801216 in words is "ninety million, eight hundred one thousand, two hundred sixteen".