126984096 has 72 divisors (see below), whose sum is σ = 362666304. Its totient is φ = 42145920.

The previous prime is 126984079. The next prime is 126984097. The reversal of 126984096 is 690489621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×126984096² = 32249921273874432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126984097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77235 + ... + 78861.

It is an arithmetic number, because the mean of its divisors is an integer number (5037032).

Almost surely, 2^126984096 is an apocalyptic number.

126984096 is a gapful number since it is divisible by the number (16) 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 126984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181333152).

126984096 is an abundant number, since it is smaller than the sum of its proper divisors (235682208).

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

126984096 is a wasteful number, since it uses less digits than its factorization.

126984096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

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

The square root of 126984096 is about 11268.7220215959. The cubic root of 126984096 is about 502.6315865387.

The spelling of 126984096 in words is "one hundred twenty-six million, nine hundred eighty-four thousand, ninety-six".