123824640 has 160 divisors (see below), whose sum is σ = 413652096. Its totient is φ = 31539200.

The previous prime is 123824627. The next prime is 123824647. The reversal of 123824640 is 46428321.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×123824640² = 30665082942259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123824598 and 123824607.

It is not an unprimeable number, because it can be changed into a prime (123824647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176290 + ... + 176990.

Almost surely, 2^123824640 is an apocalyptic number.

123824640 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 123824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826048).

123824640 is an abundant number, since it is smaller than the sum of its proper divisors (289827456).

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

123824640 is an equidigital number, since it uses as much as digits as its factorization.

123824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 123824640 is about 11127.6520434456. The cubic root of 123824640 is about 498.4279156151.

It can be divided in two parts, 1238 and 24640, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 123824640 in words is "one hundred twenty-three million, eight hundred twenty-four thousand, six hundred forty".