123462976 has 224 divisors, whose sum is σ = 337962240. Its totient is φ = 43352064.

The previous prime is 123462971. The next prime is 123462979. The reversal of 123462976 is 679264321.

123462976 = 959² + 960² + ... + 1077².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123462971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2871211 + ... + 2871253.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 2^123462976 is an apocalyptic number.

123462976 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 123462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

123462976 is an abundant number, since it is smaller than the sum of its proper divisors (214499264).

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

123462976 is a wasteful number, since it uses less digits than its factorization.

123462976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 123462976 is about 11111.3894720687. The cubic root of 123462976 is about 497.9421770146.

The spelling of 123462976 in words is "one hundred twenty-three million, four hundred sixty-two thousand, nine hundred seventy-six".