126760320 has 192 divisors, whose sum is σ = 446331600. Its totient is φ = 33140736.

The previous prime is 126760307. The next prime is 126760327. The reversal of 126760320 is 23067621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126760327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339654 + ... + 340026.

Almost surely, 2^126760320 is an apocalyptic number.

126760320 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 126760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223165800).

126760320 is an abundant number, since it is smaller than the sum of its proper divisors (319571280).

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

126760320 is a wasteful number, since it uses less digits than its factorization.

126760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126760320 is about 11258.7885671594. The cubic root of 126760320 is about 502.3361610366.

The spelling of 126760320 in words is "one hundred twenty-six million, seven hundred sixty thousand, three hundred twenty".