126989760 has 112 divisors (see below), whose sum is σ = 405993600. Its totient is φ = 33629184.

The previous prime is 126989747. The next prime is 126989761. The reversal of 126989760 is 67989621.

It is a super-2 number, since 2×126989760² = 32252798289715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126989761) 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 15 ways as a sum of consecutive naturals, for example, 171471 + ... + 172209.

Almost surely, 2^126989760 is an apocalyptic number.

126989760 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 126989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202996800).

126989760 is an abundant number, since it is smaller than the sum of its proper divisors (279003840).

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

126989760 is a wasteful number, since it uses less digits than its factorization.

126989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 126989760 is about 11268.9733338934. The cubic root of 126989760 is about 502.6390595559.

The spelling of 126989760 in words is "one hundred twenty-six million, nine hundred eighty-nine thousand, seven hundred sixty".