126678288 has 120 divisors (see below), whose sum is σ = 381163104. Its totient is φ = 36101120.

The previous prime is 126678259. The next prime is 126678313. The reversal of 126678288 is 882876621.

It is a super-2 number, since 2×126678288² = 32094777301221888, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98095 + ... + 99377.

Almost surely, 2^126678288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126678288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190581552).

126678288 is an abundant number, since it is smaller than the sum of its proper divisors (254484816).

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

126678288 is a wasteful number, since it uses less digits than its factorization.

126678288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1316 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 126678288 is about 11255.1449568631. The cubic root of 126678288 is about 502.2277766141.

The spelling of 126678288 in words is "one hundred twenty-six million, six hundred seventy-eight thousand, two hundred eighty-eight".