90148992 has 64 divisors (see below), whose sum is σ = 247215360. Its totient is φ = 29076480.

The previous prime is 90148897. The next prime is 90148997. The reversal of 90148992 is 29984109.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (90148997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8118 + ... + 15690.

It is an arithmetic number, because the mean of its divisors is an integer number (3862740).

Almost surely, 2^90148992 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 90148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123607680).

90148992 is an abundant number, since it is smaller than the sum of its proper divisors (157066368).

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

90148992 is a wasteful number, since it uses less digits than its factorization.

90148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 90148992 is about 9494.6823011621. The cubic root of 90148992 is about 448.3876321914.

The spelling of 90148992 in words is "ninety million, one hundred forty-eight thousand, nine hundred ninety-two".