11762490 has 64 divisors (see below), whose sum is σ = 29538432. Its totient is φ = 2995200.

The previous prime is 11762483. The next prime is 11762503. The reversal of 11762490 is 9426711.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89725 + ... + 89855.

It is an arithmetic number, because the mean of its divisors is an integer number (461538).

Almost surely, 2^11762490 is an apocalyptic number.

11762490 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 11762490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769216).

11762490 is an abundant number, since it is smaller than the sum of its proper divisors (17775942).

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

11762490 is a wasteful number, since it uses less digits than its factorization.

11762490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11762490 is about 3429.6486700535. The cubic root of 11762490 is about 227.4223218280.

The spelling of 11762490 in words is "eleven million, seven hundred sixty-two thousand, four hundred ninety".