90837400 has 48 divisors (see below), whose sum is σ = 214205040. Its totient is φ = 35817600.

The previous prime is 90837391. The next prime is 90837401. The reversal of 90837400 is 473809.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90837401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11002 + ... + 17398.

It is an arithmetic number, because the mean of its divisors is an integer number (4462605).

Almost surely, 2^90837400 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 90837400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107102520).

90837400 is an abundant number, since it is smaller than the sum of its proper divisors (123367640).

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

90837400 is a wasteful number, since it uses less digits than its factorization.

90837400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 90837400 is about 9530.8656479881. The cubic root of 90837400 is about 449.5260854373.

The spelling of 90837400 in words is "ninety million, eight hundred thirty-seven thousand, four hundred".