126962640 has 280 divisors, whose sum is σ = 507431808. Its totient is φ = 28926720.

The previous prime is 126962629. The next prime is 126962659. The reversal of 126962640 is 46269621.

126962640 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×126962640² = 32239023911539200, which contains 22 as substring.

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 = 126962595 and 126962604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408085 + ... + 408395.

Almost surely, 2^126962640 is an apocalyptic number.

126962640 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 126962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253715904).

126962640 is an abundant number, since it is smaller than the sum of its proper divisors (380469168).

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

126962640 is an equidigital number, since it uses as much as digits as its factorization.

126962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 126962640 is about 11267.7699657031. The cubic root of 126962640 is about 502.6032757210.

The spelling of 126962640 in words is "one hundred twenty-six million, nine hundred sixty-two thousand, six hundred forty".