90893400 has 192 divisors, whose sum is σ = 311646720. Its totient is φ = 21772800.

The previous prime is 90893389. The next prime is 90893431. The reversal of 90893400 is 439809.

It is a super-2 number, since 2×90893400² = 16523220327120000, which contains 22 as substring.

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, 335265 + ... + 335535.

It is an arithmetic number, because the mean of its divisors is an integer number (1623160).

Almost surely, 2^90893400 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 90893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155823360).

90893400 is an abundant number, since it is smaller than the sum of its proper divisors (220753320).

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

90893400 is a wasteful number, since it uses less digits than its factorization.

90893400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 90893400 is about 9533.8030187329. The cubic root of 90893400 is about 449.6184419980.

The spelling of 90893400 in words is "ninety million, eight hundred ninety-three thousand, four hundred".