23077120 has 108 divisors (see below), whose sum is σ = 61166700. Its totient is φ = 8335360.

The previous prime is 23077081. The next prime is 23077121. The reversal of 23077120 is 2177032.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 17842176 = 2288^2 + 4224^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23077091 and 23077100.

It is not an unprimeable number, because it can be changed into a prime (23077121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154806 + ... + 154954.

Almost surely, 2^23077120 is an apocalyptic number.

23077120 is a gapful number since it is divisible by the number (20) 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 23077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30583350).

23077120 is an abundant number, since it is smaller than the sum of its proper divisors (38089580).

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

23077120 is a wasteful number, since it uses less digits than its factorization.

23077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 23077120 is about 4803.8651105126. The cubic root of 23077120 is about 284.7041970407.

The spelling of 23077120 in words is "twenty-three million, seventy-seven thousand, one hundred twenty".