123416640 has 84 divisors (see below), whose sum is σ = 424511724. Its totient is φ = 32910336.

The previous prime is 123416639. The next prime is 123416641. The reversal of 123416640 is 46614321.

123416640 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 16 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (123416639) and next prime (123416641).

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 25644096 = 9888^2 + 5064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123416641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18547 + ... + 24306.

It is an arithmetic number, because the mean of its divisors is an integer number (5053711).

Almost surely, 2^123416640 is an apocalyptic number.

123416640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123416640 is an abundant number, since it is smaller than the sum of its proper divisors (301095084).

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

123416640 is a wasteful number, since it uses less digits than its factorization.

123416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42876 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123416640 is about 11109.3042086352. The cubic root of 123416640 is about 497.8798761898.

It can be divided in two parts, 12341 and 6640, that added together give a palindrome (18981).

The spelling of 123416640 in words is "one hundred twenty-three million, four hundred sixteen thousand, six hundred forty".