90301140 has 72 divisors (see below), whose sum is σ = 282766848. Its totient is φ = 23302080.

The previous prime is 90301117. The next prime is 90301163. The reversal of 90301140 is 4110309.

It is an interprime number because it is at equal distance from previous prime (90301117) and next prime (90301163).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2512 + ... + 13671.

Almost surely, 2^90301140 is an apocalyptic number.

90301140 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 90301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141383424).

90301140 is an abundant number, since it is smaller than the sum of its proper divisors (192465708).

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

90301140 is a wasteful number, since it uses less digits than its factorization.

90301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90301140 is about 9502.6911977608. The cubic root of 90301140 is about 448.6397442265.

Adding to 90301140 its reverse (4110309), we get a palindrome (94411449).

The spelling of 90301140 in words is "ninety million, three hundred one thousand, one hundred forty".