90888552 has 144 divisors (see below), whose sum is σ = 271752000. Its totient is φ = 27361152.

The previous prime is 90888547. The next prime is 90888557. The reversal of 90888552 is 25588809.

90888552 is a `hidden beast` number, since 90 + 8 + 8 + 8 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (90888547) and next prime (90888557).

It is a junction number, because it is equal to n+sod(n) for n = 90888498 and 90888507.

It is not an unprimeable number, because it can be changed into a prime (90888557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1150449 + ... + 1150527.

Almost surely, 2^90888552 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 90888552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135876000).

90888552 is an abundant number, since it is smaller than the sum of its proper divisors (180863448).

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

90888552 is a wasteful number, since it uses less digits than its factorization.

90888552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 90888552 is about 9533.5487621347. The cubic root of 90888552 is about 449.6104480587.

The spelling of 90888552 in words is "ninety million, eight hundred eighty-eight thousand, five hundred fifty-two".