126193680 has 160 divisors (see below), whose sum is σ = 446697600. Its totient is φ = 32721408.

The previous prime is 126193667. The next prime is 126193699. The reversal of 126193680 is 86391621.

126193680 is a `hidden beast` number, since 1 + 2 + 619 + 36 + 8 + 0 = 666.

It is a super-3 number, since 3×126193680³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79131 + ... + 80709.

It is an arithmetic number, because the mean of its divisors is an integer number (2791860).

Almost surely, 2^126193680 is an apocalyptic number.

126193680 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 126193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223348800).

126193680 is an abundant number, since it is smaller than the sum of its proper divisors (320503920).

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

126193680 is a wasteful number, since it uses less digits than its factorization.

126193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126193680 is about 11233.5960404494. The cubic root of 126193680 is about 501.5865338296.

The spelling of 126193680 in words is "one hundred twenty-six million, one hundred ninety-three thousand, six hundred eighty".