123963840 has 672 divisors, whose sum is σ = 585801216. Its totient is φ = 23224320.

The previous prime is 123963821. The next prime is 123963841. The reversal of 123963840 is 48369321.

123963840 is a `hidden beast` number, since 12 + 3 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 123963795 and 123963804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123963841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882859 + ... + 2882901.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^123963840 is an apocalyptic number.

123963840 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 123963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292900608).

123963840 is an abundant number, since it is smaller than the sum of its proper divisors (461837376).

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

123963840 is a wasteful number, since it uses less digits than its factorization.

123963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 123963840 is about 11133.9049753445. The cubic root of 123963840 is about 498.6146183138.

The spelling of 123963840 in words is "one hundred twenty-three million, nine hundred sixty-three thousand, eight hundred forty".