126984960 has 216 divisors, whose sum is σ = 448322784. Its totient is φ = 33177600.

The previous prime is 126984953. The next prime is 126984971. The reversal of 126984960 is 69489621.

It is a happy number.

It is a super-2 number, since 2×126984960² = 32250360132403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840885 + ... + 841035.

Almost surely, 2^126984960 is an apocalyptic number.

126984960 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 126984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224161392).

126984960 is an abundant number, since it is smaller than the sum of its proper divisors (321337824).

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

126984960 is a wasteful number, since it uses less digits than its factorization.

126984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 126984960 is about 11268.7603577323. The cubic root of 126984960 is about 502.6327265049.

The spelling of 126984960 in words is "one hundred twenty-six million, nine hundred eighty-four thousand, nine hundred sixty".