90894852 has 96 divisors (see below), whose sum is σ = 257725440. Its totient is φ = 27578880.

The previous prime is 90894847. The next prime is 90894857. The reversal of 90894852 is 25849809.

90894852 is a `hidden beast` number, since 90 + 89 + 485 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (90894847) and next prime (90894857).

It is a junction number, because it is equal to n+sod(n) for n = 90894798 and 90894807.

It is not an unprimeable number, because it can be changed into a prime (90894857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56118 + ... + 57714.

It is an arithmetic number, because the mean of its divisors is an integer number (2684640).

Almost surely, 2^90894852 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 90894852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128862720).

90894852 is an abundant number, since it is smaller than the sum of its proper divisors (166830588).

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

90894852 is a wasteful number, since it uses less digits than its factorization.

90894852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 90894852 is about 9533.8791685232. The cubic root of 90894852 is about 449.6208361670.

The spelling of 90894852 in words is "ninety million, eight hundred ninety-four thousand, eight hundred fifty-two".