126918760 has 32 divisors (see below), whose sum is σ = 285933600. Its totient is φ = 50702400.

The previous prime is 126918733. The next prime is 126918767. The reversal of 126918760 is 67819621.

It is a super-3 number, since 3×126918760³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (126918767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40531 + ... + 43549.

It is an arithmetic number, because the mean of its divisors is an integer number (8935425).

Almost surely, 2^126918760 is an apocalyptic number.

126918760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126918760 is an abundant number, since it is smaller than the sum of its proper divisors (159014840).

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

126918760 is a wasteful number, since it uses less digits than its factorization.

126918760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 126918760 is about 11265.8226508320. The cubic root of 126918760 is about 502.5453668932.

The spelling of 126918760 in words is "one hundred twenty-six million, nine hundred eighteen thousand, seven hundred sixty".