11672760 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 2741760.

The previous prime is 11672719. The next prime is 11672767. The reversal of 11672760 is 6727611.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11672767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48721 + ... + 48959.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^11672760 is an apocalyptic number.

11672760 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 11672760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

11672760 is an abundant number, since it is smaller than the sum of its proper divisors (27725640).

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

11672760 is a wasteful number, since it uses less digits than its factorization.

11672760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 11672760 is about 3416.5421115508. The cubic root of 11672760 is about 226.8425489941.

It can be divided in two parts, 1 and 1672760, that added together give a palindrome (1672761).

The spelling of 11672760 in words is "eleven million, six hundred seventy-two thousand, seven hundred sixty".