126986880 has 192 divisors, whose sum is σ = 433418400. Its totient is φ = 31537152.

The previous prime is 126986833. The next prime is 126986897. The reversal of 126986880 is 88689621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×126986880² = 32251335384268800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152291 + ... + 2152349.

Almost surely, 2^126986880 is an apocalyptic number.

126986880 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 126986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216709200).

126986880 is an abundant number, since it is smaller than the sum of its proper divisors (306431520).

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

126986880 is an equidigital number, since it uses as much as digits as its factorization.

126986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 126986880 is about 11268.8455486798. The cubic root of 126986880 is about 502.6352597444.

The spelling of 126986880 in words is "one hundred twenty-six million, nine hundred eighty-six thousand, eight hundred eighty".