126759864 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 31987200.

The previous prime is 126759863. The next prime is 126759869. The reversal of 126759864 is 468957621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126759863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530257 + ... + 530495.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^126759864 is an apocalyptic number.

126759864 is a gapful number since it is divisible by the number (14) 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 126759864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

126759864 is an abundant number, since it is smaller than the sum of its proper divisors (286923336).

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

126759864 is a wasteful number, since it uses less digits than its factorization.

126759864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 126759864 is about 11258.7683162946. The cubic root of 126759864 is about 502.3355586779.

The spelling of 126759864 in words is "one hundred twenty-six million, seven hundred fifty-nine thousand, eight hundred sixty-four".