90342400 has 66 divisors (see below), whose sum is σ = 224003210. Its totient is φ = 36126720.

The previous prime is 90342389. The next prime is 90342409. The reversal of 90342400 is 424309.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 90326016 = 128^2 + 9504^2 .

It is not an unprimeable number, because it can be changed into a prime (90342409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23836 + ... + 27364.

Almost surely, 2^90342400 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 90342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112001605).

90342400 is an abundant number, since it is smaller than the sum of its proper divisors (133660810).

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

90342400 is a wasteful number, since it uses less digits than its factorization.

90342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 90342400 is about 9504.8619137787. The cubic root of 90342400 is about 448.7080639888.

Adding to 90342400 its reverse (424309), we get a palindrome (90766709).

The spelling of 90342400 in words is "ninety million, three hundred forty-two thousand, four hundred".