90580140 has 192 divisors, whose sum is σ = 332881920. Its totient is φ = 20010240.

The previous prime is 90580129. The next prime is 90580151. The reversal of 90580140 is 4108509.

It is an interprime number because it is at equal distance from previous prime (90580129) and next prime (90580151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116794 + ... + 117566.

It is an arithmetic number, because the mean of its divisors is an integer number (1733760).

Almost surely, 2^90580140 is an apocalyptic number.

90580140 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 90580140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440960).

90580140 is an abundant number, since it is smaller than the sum of its proper divisors (242301780).

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

90580140 is a wasteful number, since it uses less digits than its factorization.

90580140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90580140 is about 9517.3599280473. The cubic root of 90580140 is about 449.1013175723.

Adding to 90580140 its reverse (4108509), we get a palindrome (94688649).

The spelling of 90580140 in words is "ninety million, five hundred eighty thousand, one hundred forty".