90845280 has 192 divisors, whose sum is σ = 336934080. Its totient is φ = 22781952.

The previous prime is 90845273. The next prime is 90845303. The reversal of 90845280 is 8254809.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72822 + ... + 74058.

It is an arithmetic number, because the mean of its divisors is an integer number (1754865).

Almost surely, 2^90845280 is an apocalyptic number.

90845280 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 90845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168467040).

90845280 is an abundant number, since it is smaller than the sum of its proper divisors (246088800).

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

90845280 is a wasteful number, since it uses less digits than its factorization.

90845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90845280 is about 9531.2790327427. The cubic root of 90845280 is about 449.5390836192.

It can be divided in two parts, 90845 and 280, that added together give a cube (91125 = 45³).

The spelling of 90845280 in words is "ninety million, eight hundred forty-five thousand, two hundred eighty".