11419680 has 96 divisors (see below), whose sum is σ = 37001664. Its totient is φ = 2958336.

The previous prime is 11419673. The next prime is 11419693. The reversal of 11419680 is 8691411.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17439 + ... + 18081.

It is an arithmetic number, because the mean of its divisors is an integer number (385434).

Almost surely, 2^11419680 is an apocalyptic number.

11419680 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 11419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832).

11419680 is an abundant number, since it is smaller than the sum of its proper divisors (25581984).

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

11419680 is a wasteful number, since it uses less digits than its factorization.

11419680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11419680 is about 3379.3017030150. The cubic root of 11419680 is about 225.1911462099.

The spelling of 11419680 in words is "eleven million, four hundred nineteen thousand, six hundred eighty".