23767920 has 120 divisors (see below), whose sum is σ = 87106032. Its totient is φ = 5760000.

The previous prime is 23767873. The next prime is 23767927. The reversal of 23767920 is 2976732.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×23767920² = 1129828042252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23767927) 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 23 ways as a sum of consecutive naturals, for example, 6420 + ... + 9420.

Almost surely, 2^23767920 is an apocalyptic number.

23767920 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 23767920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43553016).

23767920 is an abundant number, since it is smaller than the sum of its proper divisors (63338112).

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

23767920 is a wasteful number, since it uses less digits than its factorization.

23767920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 23767920 is about 4875.2353789330. The cubic root of 23767920 is about 287.5171306743.

It can be divided in two parts, 2376 and 7920, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 23767920 in words is "twenty-three million, seven hundred sixty-seven thousand, nine hundred twenty".