23977120 has 48 divisors (see below), whose sum is σ = 56955528. Its totient is φ = 9538560.

The previous prime is 23977117. The next prime is 23977127. The reversal of 23977120 is 2177932.

It can be written as a sum of positive squares in 4 ways, for example, as 14167696 + 9809424 = 3764^2 + 3132^2 .

It is not an unprimeable number, because it can be changed into a prime (23977127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44050 + ... + 44590.

Almost surely, 2^23977120 is an apocalyptic number.

23977120 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 23977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28477764).

23977120 is an abundant number, since it is smaller than the sum of its proper divisors (32978408).

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

23977120 is a wasteful number, since it uses less digits than its factorization.

23977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 23977120 is about 4896.6437485282. The cubic root of 23977120 is about 288.3582219449.

The spelling of 23977120 in words is "twenty-three million, nine hundred seventy-seven thousand, one hundred twenty".