11306790 has 128 divisors (see below), whose sum is σ = 34007040. Its totient is φ = 2682720.

The previous prime is 11306753. The next prime is 11306803. The reversal of 11306790 is 9760311.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240547 + ... + 240593.

It is an arithmetic number, because the mean of its divisors is an integer number (265680).

Almost surely, 2^11306790 is an apocalyptic number.

11306790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003520).

11306790 is an abundant number, since it is smaller than the sum of its proper divisors (22700250).

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

11306790 is an equidigital number, since it uses as much as digits as its factorization.

11306790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 11306790 is about 3362.5570627128. The cubic root of 11306790 is about 224.4466401953.

The spelling of 11306790 in words is "eleven million, three hundred six thousand, seven hundred ninety".