126978960 has 80 divisors (see below), whose sum is σ = 402045696. Its totient is φ = 33137664.

The previous prime is 126978959. The next prime is 126978977. The reversal of 126978960 is 69879621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126978960² = 32247312565363200, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5652 + ... + 16908.

Almost surely, 2^126978960 is an apocalyptic number.

126978960 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 126978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201022848).

126978960 is an abundant number, since it is smaller than the sum of its proper divisors (275066736).

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

126978960 is a wasteful number, since it uses less digits than its factorization.

126978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 11314 counting only the distinct ones).

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

The square root of 126978960 is about 11268.4941318705. The cubic root of 126978960 is about 502.6248099667.

The spelling of 126978960 in words is "one hundred twenty-six million, nine hundred seventy-eight thousand, nine hundred sixty".