124166880 has 216 divisors, whose sum is σ = 445660488. Its totient is φ = 31477248.

The previous prime is 124166869. The next prime is 124166927. The reversal of 124166880 is 88661421.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761679 + ... + 761841.

It is an arithmetic number, because the mean of its divisors is an integer number (2063243).

Almost surely, 2^124166880 is an apocalyptic number.

124166880 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 124166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222830244).

124166880 is an abundant number, since it is smaller than the sum of its proper divisors (321493608).

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

124166880 is a wasteful number, since it uses less digits than its factorization.

124166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 124166880 is about 11143.0193394789. The cubic root of 124166880 is about 498.8866962828.

It can be divided in two parts, 1241 and 66880, that added together give a square (68121 = 261²).

The spelling of 124166880 in words is "one hundred twenty-four million, one hundred sixty-six thousand, eight hundred eighty".