90478080 has 640 divisors, whose sum is σ = 424258560. Its totient is φ = 17694720.

The previous prime is 90478033. The next prime is 90478081. The reversal of 90478080 is 8087409.

It is a tau number, because it is divible by the number of its divisors (640).

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 (90478081) 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, 5322232 + ... + 5322248.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^90478080 is an apocalyptic number.

90478080 is a gapful number since it is divisible by the number (90) 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 90478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

90478080 is an abundant number, since it is smaller than the sum of its proper divisors (333780480).

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

90478080 is a wasteful number, since it uses less digits than its factorization.

90478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 90478080 is about 9511.9966358278. The cubic root of 90478080 is about 448.9325811509.

The spelling of 90478080 in words is "ninety million, four hundred seventy-eight thousand, eighty".