126461682 has 96 divisors (see below), whose sum is σ = 310564800. Its totient is φ = 38035008.

The previous prime is 126461681. The next prime is 126461683. The reversal of 126461682 is 286164621.

126461682 is a `hidden beast` number, since 1 + 2 + 646 + 1 + 6 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126461681) and next prime (126461683).

It is not an unprimeable number, because it can be changed into a prime (126461681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542638 + ... + 542870.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2^126461682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126461682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155282400).

126461682 is an abundant number, since it is smaller than the sum of its proper divisors (184103118).

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

126461682 is a wasteful number, since it uses less digits than its factorization.

126461682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 126461682 is about 11245.5183073080. The cubic root of 126461682 is about 501.9413618063.

The spelling of 126461682 in words is "one hundred twenty-six million, four hundred sixty-one thousand, six hundred eighty-two".