126270864 has 60 divisors (see below), whose sum is σ = 355310592. Its totient is φ = 41860800.

The previous prime is 126270863. The next prime is 126270869. The reversal of 126270864 is 468072621.

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 (126270863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25209 + ... + 29799.

Almost surely, 2^126270864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126270864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655296).

126270864 is an abundant number, since it is smaller than the sum of its proper divisors (229039728).

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

126270864 is a wasteful number, since it uses less digits than its factorization.

126270864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126270864 is about 11237.0309245815. The cubic root of 126270864 is about 501.6887749896.

The spelling of 126270864 in words is "one hundred twenty-six million, two hundred seventy thousand, eight hundred sixty-four".