126283968 has 112 divisors (see below), whose sum is σ = 375269760. Its totient is φ = 41640192.

The previous prime is 126283967. The next prime is 126283979. The reversal of 126283968 is 869382621.

126283968 is a `hidden beast` number, since 12 + 628 + 3 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126283967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184555 + ... + 185237.

Almost surely, 2^126283968 is an apocalyptic number.

126283968 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 126283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187634880).

126283968 is an abundant number, since it is smaller than the sum of its proper divisors (248985792).

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

126283968 is a wasteful number, since it uses less digits than its factorization.

126283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 126283968 is about 11237.6139816244. The cubic root of 126283968 is about 501.7061289595.

The spelling of 126283968 in words is "one hundred twenty-six million, two hundred eighty-three thousand, nine hundred sixty-eight".