126848064 has 168 divisors, whose sum is σ = 397276320. Its totient is φ = 35610624.

The previous prime is 126848039. The next prime is 126848069. The reversal of 126848064 is 460848621.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (126848069) 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, 912507 + ... + 912645.

It is an arithmetic number, because the mean of its divisors is an integer number (2364740).

Almost surely, 2^126848064 is an apocalyptic number.

126848064 is a gapful number since it is divisible by the number (14) 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 126848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198638160).

126848064 is an abundant number, since it is smaller than the sum of its proper divisors (270428256).

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

126848064 is a wasteful number, since it uses less digits than its factorization.

126848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 126848064 is about 11262.6845822832. The cubic root of 126848064 is about 502.4520406692.

The spelling of 126848064 in words is "one hundred twenty-six million, eight hundred forty-eight thousand, sixty-four".