90491310 has 256 divisors, whose sum is σ = 309657600. Its totient is φ = 18289152.

The previous prime is 90491293. The next prime is 90491321. The reversal of 90491310 is 1319409.

It is a super-2 number, since 2×90491310² = 16377354371032200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 712467 + ... + 712593.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^90491310 is an apocalyptic number.

90491310 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 90491310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

90491310 is an abundant number, since it is smaller than the sum of its proper divisors (219166290).

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

90491310 is a wasteful number, since it uses less digits than its factorization.

90491310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90491310 is about 9512.6920479957. The cubic root of 90491310 is about 448.9544615466.

The spelling of 90491310 in words is "ninety million, four hundred ninety-one thousand, three hundred ten".