123452640 has 288 divisors, whose sum is σ = 468931680. Its totient is φ = 30228480.

The previous prime is 123452639. The next prime is 123452647. The reversal of 123452640 is 46254321.

123452640 is a `hidden beast` number, since 12 + 3 + 4 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123452647) 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, 3011020 + ... + 3011060.

It is an arithmetic number, because the mean of its divisors is an integer number (1628235).

Almost surely, 2^123452640 is an apocalyptic number.

123452640 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 123452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234465840).

123452640 is an abundant number, since it is smaller than the sum of its proper divisors (345479040).

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

123452640 is a wasteful number, since it uses less digits than its factorization.

123452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 123452640 is about 11110.9243539860. The cubic root of 123452640 is about 497.9282811512.

The spelling of 123452640 in words is "one hundred twenty-three million, four hundred fifty-two thousand, six hundred forty".