126896640 has 320 divisors, whose sum is σ = 461970432. Its totient is φ = 29491200.

The previous prime is 126896639. The next prime is 126896647. The reversal of 126896640 is 46698621.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×126896640² = 32205514486579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126896592 and 126896601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126896647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095020 + ... + 3095060.

Almost surely, 2^126896640 is an apocalyptic number.

126896640 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 126896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

126896640 is an abundant number, since it is smaller than the sum of its proper divisors (335073792).

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

126896640 is a wasteful number, since it uses less digits than its factorization.

126896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 126896640 is about 11264.8408777044. The cubic root of 126896640 is about 502.5161698715.

The spelling of 126896640 in words is "one hundred twenty-six million, eight hundred ninety-six thousand, six hundred forty".