90226584000 has 336 divisors, whose sum is σ = 368865521856. Its totient is φ = 20623104000.

The previous prime is 90226583969. The next prime is 90226584013. The reversal of 90226584000 is 48562209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 414490 + ... + 593510.

Almost surely, 2^90226584000 is an apocalyptic number.

90226584000 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 90226584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184432760928).

90226584000 is an abundant number, since it is smaller than the sum of its proper divisors (278638937856).

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

90226584000 is a wasteful number, since it uses less digits than its factorization.

90226584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179061 (or 179038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 90226584000 in words is "ninety billion, two hundred twenty-six million, five hundred eighty-four thousand".