126656640 has 192 divisors, whose sum is σ = 477360000. Its totient is φ = 30689280.

The previous prime is 126656639. The next prime is 126656689. The reversal of 126656640 is 46656621.

It is a happy number.

126656640 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 5 + 6 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126656595 and 126656604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62361 + ... + 64359.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^126656640 is an apocalyptic number.

126656640 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 126656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

126656640 is an abundant number, since it is smaller than the sum of its proper divisors (350703360).

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

126656640 is a wasteful number, since it uses less digits than its factorization.

126656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 126656640 is about 11254.1832222512. The cubic root of 126656640 is about 502.1991664857.

The spelling of 126656640 in words is "one hundred twenty-six million, six hundred fifty-six thousand, six hundred forty".