126906048 has 84 divisors (see below), whose sum is σ = 374462040. Its totient is φ = 42145920.

The previous prime is 126906023. The next prime is 126906049. The reversal of 126906048 is 840609621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×126906048² = 32210290037956608, which contains 22 as substring.

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 (126906049) 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, 468153 + ... + 468423.

Almost surely, 2^126906048 is an apocalyptic number.

126906048 is a gapful number since it is divisible by the number (18) 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 126906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231020).

126906048 is an abundant number, since it is smaller than the sum of its proper divisors (247555992).

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

126906048 is an frugal number, since it uses more digits than its factorization.

126906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126906048 is about 11265.2584524280. The cubic root of 126906048 is about 502.5285882599.

The spelling of 126906048 in words is "one hundred twenty-six million, nine hundred six thousand, forty-eight".