90948000 has 384 divisors, whose sum is σ = 356638464. Its totient is φ = 19968000.

The previous prime is 90947959. The next prime is 90948001. The reversal of 90948000 is 84909.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90948001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715974 + ... + 1716026.

It is an arithmetic number, because the mean of its divisors is an integer number (928746).

Almost surely, 2^90948000 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 90948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

90948000 is an abundant number, since it is smaller than the sum of its proper divisors (265690464).

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

90948000 is a wasteful number, since it uses less digits than its factorization.

90948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90948000 is about 9536.6660841198. Note that the first 3 decimals coincide. The cubic root of 90948000 is about 449.7084531281.

The spelling of 90948000 in words is "ninety million, nine hundred forty-eight thousand".