126719880 has 192 divisors, whose sum is σ = 461946240. Its totient is φ = 27675648.

The previous prime is 126719867. The next prime is 126719893. The reversal of 126719880 is 88917621.

It is an interprime number because it is at equal distance from previous prime (126719867) and next prime (126719893).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134772 + ... + 135708.

It is an arithmetic number, because the mean of its divisors is an integer number (2405970).

Almost surely, 2^126719880 is an apocalyptic number.

126719880 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 126719880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230973120).

126719880 is an abundant number, since it is smaller than the sum of its proper divisors (335226360).

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

126719880 is a wasteful number, since it uses less digits than its factorization.

126719880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 126719880 is about 11256.9924935571. The cubic root of 126719880 is about 502.2827357086.

The spelling of 126719880 in words is "one hundred twenty-six million, seven hundred nineteen thousand, eight hundred eighty".