123793416 has 96 divisors (see below), whose sum is σ = 355680000. Its totient is φ = 38828160.

The previous prime is 123793409. The next prime is 123793427. The reversal of 123793416 is 614397321.

123793416 is a `hidden beast` number, since 1 + 237 + 9 + 3 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81835 + ... + 83333.

It is an arithmetic number, because the mean of its divisors is an integer number (3705000).

Almost surely, 2^123793416 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 123793416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177840000).

123793416 is an abundant number, since it is smaller than the sum of its proper divisors (231886584).

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

123793416 is a wasteful number, since it uses less digits than its factorization.

123793416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 123793416 is about 11126.2489635995. The cubic root of 123793416 is about 498.3860170572.

The spelling of 123793416 in words is "one hundred twenty-three million, seven hundred ninety-three thousand, four hundred sixteen".