90698400 has 576 divisors, whose sum is σ = 393724800. Its totient is φ = 19906560.

The previous prime is 90698389. The next prime is 90698431. The reversal of 90698400 is 489609.

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 95 ways as a sum of consecutive naturals, for example, 4773591 + ... + 4773609.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^90698400 is an apocalyptic number.

90698400 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 90698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

90698400 is an abundant number, since it is smaller than the sum of its proper divisors (303026400).

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

90698400 is a wasteful number, since it uses less digits than its factorization.

90698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90698400 is about 9523.5707589118. The cubic root of 90698400 is about 449.2966791054.

The spelling of 90698400 in words is "ninety million, six hundred ninety-eight thousand, four hundred".