90842800 has 60 divisors (see below), whose sum is σ = 229755880. Its totient is φ = 34421760.

The previous prime is 90842797. The next prime is 90842827. The reversal of 90842800 is 824809.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1624 + ... + 13576.

Almost surely, 2^90842800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114877940).

90842800 is an abundant number, since it is smaller than the sum of its proper divisors (138913080).

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

90842800 is a wasteful number, since it uses less digits than its factorization.

90842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 90842800 is about 9531.1489338904. The cubic root of 90842800 is about 449.5349929019.

The spelling of 90842800 in words is "ninety million, eight hundred forty-two thousand, eight hundred".