90878112 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 26127360.

The previous prime is 90878087. The next prime is 90878131. The reversal of 90878112 is 21187809.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2931537 + ... + 2931567.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^90878112 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 90878112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

90878112 is an abundant number, since it is smaller than the sum of its proper divisors (217327968).

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

90878112 is a wasteful number, since it uses less digits than its factorization.

90878112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 90878112 is about 9533.0012063358. The cubic root of 90878112 is about 449.5932324222.

The spelling of 90878112 in words is "ninety million, eight hundred seventy-eight thousand, one hundred twelve".