923680 has 48 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 352000.

The previous prime is 923653. The next prime is 923687. The reversal of 923680 is 86329.

923680 = T₂₃₃ + T₂₃₄ + ... + T₂₆₂.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (923687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3555 + ... + 3805.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2⁹²³⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

923680 is an abundant number, since it is smaller than the sum of its proper divisors (1362464).

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

923680 is a wasteful number, since it uses less digits than its factorization.

923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 923680 is about 961.0827227664. The cubic root of 923680 is about 97.3883886106.

It can be divided in two parts, 9236 and 80, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 923680 in words is "nine hundred twenty-three thousand, six hundred eighty".