124871680 has 88 divisors (see below), whose sum is σ = 310243320. Its totient is φ = 48226304.

The previous prime is 124871603. The next prime is 124871687. The reversal of 124871680 is 86178421.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 124724224 = 384^2 + 11168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124871687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4305906 + ... + 4305934.

Almost surely, 2^124871680 is an apocalyptic number.

124871680 is a gapful number since it is divisible by the number (10) 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 124871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155121660).

124871680 is an abundant number, since it is smaller than the sum of its proper divisors (185371640).

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

124871680 is an frugal number, since it uses more digits than its factorization.

124871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 124871680 is about 11174.5997691193. The cubic root of 124871680 is about 499.8288480874.

The spelling of 124871680 in words is "one hundred twenty-four million, eight hundred seventy-one thousand, six hundred eighty".