123465264 has 80 divisors (see below), whose sum is σ = 345332064. Its totient is φ = 37785600.

The previous prime is 123465253. The next prime is 123465289. The reversal of 123465264 is 462564321.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (34560) is a multiple of the sum of its prime divisors (1080).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149974 + ... + 150794.

Almost surely, 2^123465264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123465264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172666032).

123465264 is an abundant number, since it is smaller than the sum of its proper divisors (221866800).

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

123465264 is a wasteful number, since it uses less digits than its factorization.

123465264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 123465264 is about 11111.4924290124. The cubic root of 123465264 is about 497.9452529291.

The spelling of 123465264 in words is "one hundred twenty-three million, four hundred sixty-five thousand, two hundred sixty-four".