90351216 has 60 divisors (see below), whose sum is σ = 254615400. Its totient is φ = 29907840.

The previous prime is 90351203. The next prime is 90351223. The reversal of 90351216 is 61215309.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90351216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19351 + ... + 23561.

It is an arithmetic number, because the mean of its divisors is an integer number (4243590).

Almost surely, 2^90351216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90351216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127307700).

90351216 is an abundant number, since it is smaller than the sum of its proper divisors (164264184).

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

90351216 is a wasteful number, since it uses less digits than its factorization.

90351216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90351216 is about 9505.3256651206. The cubic root of 90351216 is about 448.7226591350.

The spelling of 90351216 in words is "ninety million, three hundred fifty-one thousand, two hundred sixteen".