11677320 has 96 divisors (see below), whose sum is σ = 38376000. Its totient is φ = 3079296.

The previous prime is 11677319. The next prime is 11677357. The reversal of 11677320 is 2377611.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58581 + ... + 58779.

It is an arithmetic number, because the mean of its divisors is an integer number (399750).

Almost surely, 2^11677320 is an apocalyptic number.

11677320 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 11677320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188000).

11677320 is an abundant number, since it is smaller than the sum of its proper divisors (26698680).

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

11677320 is a wasteful number, since it uses less digits than its factorization.

11677320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 11677320 is about 3417.2093877900. The cubic root of 11677320 is about 226.8720840642.

The spelling of 11677320 in words is "eleven million, six hundred seventy-seven thousand, three hundred twenty".