90854016 has 128 divisors (see below), whose sum is σ = 266880960. Its totient is φ = 27156480.

The previous prime is 90854011. The next prime is 90854053. The reversal of 90854016 is 61045809.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (90854011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578610 + ... + 578766.

Almost surely, 2^90854016 is an apocalyptic number.

90854016 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 90854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133440480).

90854016 is an abundant number, since it is smaller than the sum of its proper divisors (176026944).

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

90854016 is a wasteful number, since it uses less digits than its factorization.

90854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 90854016 is about 9531.7373022970. The cubic root of 90854016 is about 449.5534929077.

The spelling of 90854016 in words is "ninety million, eight hundred fifty-four thousand, sixteen".