90953280 has 420 divisors, whose sum is σ = 367885980. Its totient is φ = 21288960.

The previous prime is 90953273. The next prime is 90953297. The reversal of 90953280 is 8235909.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 50808384 = 6336^2 + 7128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136306 + ... + 3136334.

It is an arithmetic number, because the mean of its divisors is an integer number (875919).

Almost surely, 2^90953280 is an apocalyptic number.

90953280 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 90953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942990).

90953280 is an abundant number, since it is smaller than the sum of its proper divisors (276932700).

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

90953280 is a wasteful number, since it uses less digits than its factorization.

90953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90953280 is about 9536.9429064035. The cubic root of 90953280 is about 449.7171555907.

The spelling of 90953280 in words is "ninety million, nine hundred fifty-three thousand, two hundred eighty".