126776016 has 80 divisors (see below), whose sum is σ = 368488320. Its totient is φ = 42247008.

The previous prime is 126776009. The next prime is 126776017. The reversal of 126776016 is 610677621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126776017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33181 + ... + 36803.

It is an arithmetic number, because the mean of its divisors is an integer number (4606104).

Almost surely, 2^126776016 is an apocalyptic number.

126776016 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 126776016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184244160).

126776016 is an abundant number, since it is smaller than the sum of its proper divisors (241712304).

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

126776016 is an frugal number, since it uses more digits than its factorization.

126776016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 126776016 is about 11259.4856010388. The cubic root of 126776016 is about 502.3568939783.

The spelling of 126776016 in words is "one hundred twenty-six million, seven hundred seventy-six thousand, sixteen".