90467280 has 200 divisors, whose sum is σ = 328407552. Its totient is φ = 23037696.

The previous prime is 90467249. The next prime is 90467291. The reversal of 90467280 is 8276409.

90467280 = 41² + 42² + ... + 647².

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 39 ways as a sum of consecutive naturals, for example, 148737 + ... + 149343.

Almost surely, 2^90467280 is an apocalyptic number.

90467280 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 90467280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164203776).

90467280 is an abundant number, since it is smaller than the sum of its proper divisors (237940272).

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

90467280 is a wasteful number, since it uses less digits than its factorization.

90467280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90467280 is about 9511.4289147320. The cubic root of 90467280 is about 448.9147180220.

The spelling of 90467280 in words is "ninety million, four hundred sixty-seven thousand, two hundred eighty".