90687528 has 72 divisors (see below), whose sum is σ = 256862970. Its totient is φ = 28902720.

The previous prime is 90687517. The next prime is 90687539. The reversal of 90687528 is 82578609.

It is a Cunningham number, because it is equal to 9523²-1.

It is an interprime number because it is at equal distance from previous prime (90687517) and next prime (90687539).

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 19044 = 9522^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36898 + ... + 39278.

Almost surely, 2^90687528 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 90687528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128431485).

90687528 is an abundant number, since it is smaller than the sum of its proper divisors (166175442).

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

90687528 is a wasteful number, since it uses less digits than its factorization.

90687528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 90687528 is about 9522.9999474955. Note that the first 4 decimals coincide. The cubic root of 90687528 is about 449.2787260188.

The spelling of 90687528 in words is "ninety million, six hundred eighty-seven thousand, five hundred twenty-eight".