90487800 has 192 divisors, whose sum is σ = 335916000. Its totient is φ = 22256640.

The previous prime is 90487763. The next prime is 90487841. The reversal of 90487800 is 878409.

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, 69556 + ... + 70844.

Almost surely, 2^90487800 is an apocalyptic number.

90487800 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 90487800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167958000).

90487800 is an abundant number, since it is smaller than the sum of its proper divisors (245428200).

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

90487800 is a wasteful number, since it uses less digits than its factorization.

90487800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

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

The square root of 90487800 is about 9512.5075558446. The cubic root of 90487800 is about 448.9486567515.

The spelling of 90487800 in words is "ninety million, four hundred eighty-seven thousand, eight hundred".