126783360 has 512 divisors, whose sum is σ = 528768000. Its totient is φ = 28385280.

The previous prime is 126783353. The next prime is 126783379. The reversal of 126783360 is 63387621.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 4371826 + ... + 4371854.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^126783360 is an apocalyptic number.

126783360 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 126783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

126783360 is an abundant number, since it is smaller than the sum of its proper divisors (401984640).

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

126783360 is a wasteful number, since it uses less digits than its factorization.

126783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 126783360 is about 11259.8117213389. The cubic root of 126783360 is about 502.3665941248.

The spelling of 126783360 in words is "one hundred twenty-six million, seven hundred eighty-three thousand, three hundred sixty".