11876460 has 48 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 3140800.

The previous prime is 11876453. The next prime is 11876467. The reversal of 11876460 is 6467811.

It is a happy number.

11876460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11876453) and next prime (11876467).

It is not an unprimeable number, because it can be changed into a prime (11876467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7105 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 2^11876460 is an apocalyptic number.

11876460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11876460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

11876460 is an abundant number, since it is smaller than the sum of its proper divisors (21653652).

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

11876460 is a wasteful number, since it uses less digits than its factorization.

11876460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11876460 is about 3446.2240205767. The cubic root of 11876460 is about 228.1544813340.

The spelling of 11876460 in words is "eleven million, eight hundred seventy-six thousand, four hundred sixty".