11835720 has 160 divisors (see below), whose sum is σ = 42993720. Its totient is φ = 2903040.

The previous prime is 11835713. The next prime is 11835721. The reversal of 11835720 is 2753811.

11835720 is a `hidden beast` number, since 11 + 83 + 572 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 3437316 = 2898^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11835721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41980 + ... + 42260.

Almost surely, 2^11835720 is an apocalyptic number.

11835720 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 11835720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21496860).

11835720 is an abundant number, since it is smaller than the sum of its proper divisors (31158000).

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

11835720 is a wasteful number, since it uses less digits than its factorization.

11835720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11835720 is about 3440.3081257353. The cubic root of 11835720 is about 227.8933018764.

It can be divided in two parts, 1183 and 5720, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 11835720 in words is "eleven million, eight hundred thirty-five thousand, seven hundred twenty".