90975948 has 144 divisors (see below), whose sum is σ = 266918400. Its totient is φ = 24060960.

The previous prime is 90975947. The next prime is 90975967. The reversal of 90975948 is 84957909.

It is a happy number.

It is a super-2 number, since 2×90975948² = 16553246228997408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90975948.

It is not an unprimeable number, because it can be changed into a prime (90975947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2934693 + ... + 2934723.

It is an arithmetic number, because the mean of its divisors is an integer number (1853600).

Almost surely, 2^90975948 is an apocalyptic number.

90975948 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90975948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133459200).

90975948 is an abundant number, since it is smaller than the sum of its proper divisors (175942452).

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

90975948 is a wasteful number, since it uses less digits than its factorization.

90975948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 90975948 is about 9538.1312635128. The cubic root of 90975948 is about 449.7545130182.

The spelling of 90975948 in words is "ninety million, nine hundred seventy-five thousand, nine hundred forty-eight".