123387264 has 384 divisors, whose sum is σ = 481178880. Its totient is φ = 29306880.

The previous prime is 123387263. The next prime is 123387283. The reversal of 123387264 is 462783321.

It is a happy number.

123387264 is a `hidden beast` number, since 12 + 3 + 387 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123387263) 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, 1153099 + ... + 1153205.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^123387264 is an apocalyptic number.

123387264 is a gapful number since it is divisible by the number (14) 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 123387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

123387264 is an abundant number, since it is smaller than the sum of its proper divisors (357791616).

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

123387264 is a wasteful number, since it uses less digits than its factorization.

123387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 123387264 is about 11107.9819949440. The cubic root of 123387264 is about 497.8403707665.

The spelling of 123387264 in words is "one hundred twenty-three million, three hundred eighty-seven thousand, two hundred sixty-four".