123878496 has 96 divisors (see below), whose sum is σ = 376282368. Its totient is φ = 34951680.

The previous prime is 123878407. The next prime is 123878497. The reversal of 123878496 is 694878321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123878497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54666 + ... + 56886.

It is an arithmetic number, because the mean of its divisors is an integer number (3919608).

Almost surely, 2^123878496 is an apocalyptic number.

123878496 is a gapful number since it is divisible by the number (16) 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 123878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188141184).

123878496 is an abundant number, since it is smaller than the sum of its proper divisors (252403872).

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

123878496 is a wasteful number, since it uses less digits than its factorization.

123878496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2316 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 123878496 is about 11130.0716978823. The cubic root of 123878496 is about 498.5001668328.

The spelling of 123878496 in words is "one hundred twenty-three million, eight hundred seventy-eight thousand, four hundred ninety-six".