126492576 has 96 divisors (see below), whose sum is σ = 399490560. Its totient is φ = 34235136.

The previous prime is 126492551. The next prime is 126492593. The reversal of 126492576 is 675294621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7815 + ... + 17721.

It is an arithmetic number, because the mean of its divisors is an integer number (4161360).

Almost surely, 2^126492576 is an apocalyptic number.

126492576 is a gapful number since it is divisible by the number (16) 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 126492576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199745280).

126492576 is an abundant number, since it is smaller than the sum of its proper divisors (272997984).

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

126492576 is a wasteful number, since it uses less digits than its factorization.

126492576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9938 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 126492576 is about 11246.8918373033. The cubic root of 126492576 is about 501.9822324574.

It can be divided in two parts, 12649 and 2576, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 126492576 in words is "one hundred twenty-six million, four hundred ninety-two thousand, five hundred seventy-six".