126891792 has 80 divisors (see below), whose sum is σ = 366048000. Its totient is φ = 42086016.

The previous prime is 126891767. The next prime is 126891797. The reversal of 126891792 is 297198621.

It is a super-2 number, since 2×126891792² = 32203053753942528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (126891797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102634 + ... + 103862.

It is an arithmetic number, because the mean of its divisors is an integer number (4575600).

Almost surely, 2^126891792 is an apocalyptic number.

126891792 is a gapful number since it is divisible by the number (12) 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 126891792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183024000).

126891792 is an abundant number, since it is smaller than the sum of its proper divisors (239156208).

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

126891792 is a wasteful number, since it uses less digits than its factorization.

126891792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1473 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 126891792 is about 11264.6256928493. The cubic root of 126891792 is about 502.5097703603.

The spelling of 126891792 in words is "one hundred twenty-six million, eight hundred ninety-one thousand, seven hundred ninety-two".