126862848 has 400 divisors, whose sum is σ = 475326720. Its totient is φ = 32845824.

The previous prime is 126862837. The next prime is 126862919. The reversal of 126862848 is 848268621.

126862848 is a `hidden beast` number, since 12 + 6 + 8 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×126862848² = 32188364405342208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5515765 + ... + 5515787.

Almost surely, 2^126862848 is an apocalyptic number.

126862848 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 126862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237663360).

126862848 is an abundant number, since it is smaller than the sum of its proper divisors (348463872).

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

126862848 is an equidigital number, since it uses as much as digits as its factorization.

126862848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 126862848 is about 11263.3408898071. The cubic root of 126862848 is about 502.4715599854.

The spelling of 126862848 in words is "one hundred twenty-six million, eight hundred sixty-two thousand, eight hundred forty-eight".