126474880 has 192 divisors, whose sum is σ = 364537800. Its totient is φ = 41803776.

The previous prime is 126474869. The next prime is 126474893. The reversal of 126474880 is 88474621.

It can be written as a sum of positive squares in 4 ways, for example, as 124188736 + 2286144 = 11144^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1160266 + ... + 1160374.

Almost surely, 2^126474880 is an apocalyptic number.

126474880 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 126474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182268900).

126474880 is an abundant number, since it is smaller than the sum of its proper divisors (238062920).

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

126474880 is a wasteful number, since it uses less digits than its factorization.

126474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 126474880 is about 11246.1051035458. The cubic root of 126474880 is about 501.9588226728.

The spelling of 126474880 in words is "one hundred twenty-six million, four hundred seventy-four thousand, eight hundred eighty".