123854640 has 320 divisors, whose sum is σ = 485968896. Its totient is φ = 25399296.

The previous prime is 123854623. The next prime is 123854657. The reversal of 123854640 is 46458321.

It is a Cunningham number, because it is equal to 11129²-1.

It is an interprime number because it is at equal distance from previous prime (123854623) and next prime (123854657).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157467 + ... + 1157573.

Almost surely, 2^123854640 is an apocalyptic number.

123854640 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 123854640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

123854640 is an abundant number, since it is smaller than the sum of its proper divisors (362114256).

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

123854640 is a wasteful number, since it uses less digits than its factorization.

123854640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 123854640 is about 11128.9999550723. Note that the first 4 decimals coincide. The cubic root of 123854640 is about 498.4681650896.

The spelling of 123854640 in words is "one hundred twenty-three million, eight hundred fifty-four thousand, six hundred forty".