90795648 has 128 divisors (see below), whose sum is σ = 253612800. Its totient is φ = 28753920.

The previous prime is 90795647. The next prime is 90795659. The reversal of 90795648 is 84659709.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 90795597 and 90795606.

It is not an unprimeable number, because it can be changed into a prime (90795643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149273 + ... + 1149351.

It is an arithmetic number, because the mean of its divisors is an integer number (1981350).

Almost surely, 2^90795648 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 90795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126806400).

90795648 is an abundant number, since it is smaller than the sum of its proper divisors (162817152).

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

90795648 is a wasteful number, since it uses less digits than its factorization.

90795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 90795648 is about 9528.6750390597. The cubic root of 90795648 is about 449.4572023216.

The spelling of 90795648 in words is "ninety million, seven hundred ninety-five thousand, six hundred forty-eight".