90361530 has 96 divisors (see below), whose sum is σ = 282672000. Its totient is φ = 19564416.

The previous prime is 90361489. The next prime is 90361541. The reversal of 90361530 is 3516309.

It is a super-2 number, since 2×90361530² = 16330412207881800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90361494 and 90361503.

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, 8196 + ... + 15744.

It is an arithmetic number, because the mean of its divisors is an integer number (2944500).

Almost surely, 2^90361530 is an apocalyptic number.

90361530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90361530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141336000).

90361530 is an abundant number, since it is smaller than the sum of its proper divisors (192310470).

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

90361530 is a wasteful number, since it uses less digits than its factorization.

90361530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 90361530 is about 9505.8681875986. The cubic root of 90361530 is about 448.7397330591.

Adding to 90361530 its reverse (3516309), we get a palindrome (93877839).

The spelling of 90361530 in words is "ninety million, three hundred sixty-one thousand, five hundred thirty".