123732840 has 192 divisors, whose sum is σ = 471303360. Its totient is φ = 25697280.

The previous prime is 123732787. The next prime is 123732841. The reversal of 123732840 is 48237321.

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 = 123732798 and 123732807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123732841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63724 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (2454705).

Almost surely, 2^123732840 is an apocalyptic number.

123732840 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 123732840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235651680).

123732840 is an abundant number, since it is smaller than the sum of its proper divisors (347570520).

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

123732840 is a wasteful number, since it uses less digits than its factorization.

123732840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 123732840 is about 11123.5264192611. The cubic root of 123732840 is about 498.3047118257.

The spelling of 123732840 in words is "one hundred twenty-three million, seven hundred thirty-two thousand, eight hundred forty".