126861480 has 192 divisors, whose sum is σ = 459950400. Its totient is φ = 30136320.

The previous prime is 126861479. The next prime is 126861487. The reversal of 126861480 is 84168621.

126861480 = T₄₃₁ + T₄₃₂ + ... + T₉₄₃.

126861480 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126861487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 115735 + ... + 116825.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^126861480 is an apocalyptic number.

126861480 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 126861480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

126861480 is an abundant number, since it is smaller than the sum of its proper divisors (333088920).

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

126861480 is a wasteful number, since it uses less digits than its factorization.

126861480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

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

The square root of 126861480 is about 11263.2801616581. The cubic root of 126861480 is about 502.4697538786.

The spelling of 126861480 in words is "one hundred twenty-six million, eight hundred sixty-one thousand, four hundred eighty".