90315648 has 160 divisors (see below), whose sum is σ = 278435520. Its totient is φ = 29030400.

The previous prime is 90315647. The next prime is 90315649. The reversal of 90315648 is 84651309.

90315648 is a `hidden beast` number, since 9 + 0 + 3 + 1 + 5 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (90315647) and next prime (90315649).

It is a super-3 number, since 3×90315648³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90315647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321268 + ... + 321548.

It is an arithmetic number, because the mean of its divisors is an integer number (1740222).

Almost surely, 2^90315648 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 90315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139217760).

90315648 is an abundant number, since it is smaller than the sum of its proper divisors (188119872).

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

90315648 is a wasteful number, since it uses less digits than its factorization.

90315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90315648 is about 9503.4545298013. The cubic root of 90315648 is about 448.6637694561.

The spelling of 90315648 in words is "ninety million, three hundred fifteen thousand, six hundred forty-eight".