126097840 has 80 divisors (see below), whose sum is σ = 338683680. Its totient is φ = 43151360.

The previous prime is 126097831. The next prime is 126097841. The reversal of 126097840 is 48790621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 126097840.

It is not an unprimeable number, because it can be changed into a prime (126097841) 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, 10746 + ... + 19174.

It is an arithmetic number, because the mean of its divisors is an integer number (4233546).

Almost surely, 2^126097840 is an apocalyptic number.

126097840 is a gapful number since it is divisible by the number (10) 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 126097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169341840).

126097840 is an abundant number, since it is smaller than the sum of its proper divisors (212585840).

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

126097840 is a wasteful number, since it uses less digits than its factorization.

126097840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 126097840 is about 11229.3294546024. The cubic root of 126097840 is about 501.4595221116.

It can be divided in two parts, 12609 and 7840, that added together give a square (20449 = 143²).

The spelling of 126097840 in words is "one hundred twenty-six million, ninety-seven thousand, eight hundred forty".