126320640 has 128 divisors (see below), whose sum is σ = 405792720. Its totient is φ = 33554432.

The previous prime is 126320609. The next prime is 126320641. The reversal of 126320640 is 46023621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 126320640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126320641) by changing a digit.

In principle, a polygon with 126320640 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491392 + ... + 491648.

Almost surely, 2^126320640 is an apocalyptic number.

126320640 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 126320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202896360).

126320640 is an abundant number, since it is smaller than the sum of its proper divisors (279472080).

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

126320640 is an frugal number, since it uses more digits than its factorization.

126320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126320640 is about 11239.2455262798. The cubic root of 126320640 is about 501.7546882681.

The spelling of 126320640 in words is "one hundred twenty-six million, three hundred twenty thousand, six hundred forty".