11746890 has 64 divisors (see below), whose sum is σ = 31651200. Its totient is φ = 3100032.

The previous prime is 11746877. The next prime is 11746937. The reversal of 11746890 is 9864711.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37374 + ... + 37686.

It is an arithmetic number, because the mean of its divisors is an integer number (494550).

Almost surely, 2^11746890 is an apocalyptic number.

11746890 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 11746890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825600).

11746890 is an abundant number, since it is smaller than the sum of its proper divisors (19904310).

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

11746890 is a wasteful number, since it uses less digits than its factorization.

11746890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11746890 is about 3427.3736300555. The cubic root of 11746890 is about 227.3217377455.

The spelling of 11746890 in words is "eleven million, seven hundred forty-six thousand, eight hundred ninety".