126463680 has 560 divisors, whose sum is σ = 557637696. Its totient is φ = 26542080.

The previous prime is 126463633. The next prime is 126463681. The reversal of 126463680 is 86364621.

126463680 is a `hidden beast` number, since 1 + 2 + 646 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126463681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3084460 + ... + 3084500.

Almost surely, 2^126463680 is an apocalyptic number.

126463680 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 126463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278818848).

126463680 is an abundant number, since it is smaller than the sum of its proper divisors (431174016).

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

126463680 is a wasteful number, since it uses less digits than its factorization.

126463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 126463680 is about 11245.6071423467. The cubic root of 126463680 is about 501.9440052251.

The spelling of 126463680 in words is "one hundred twenty-six million, four hundred sixty-three thousand, six hundred eighty".