127290816 has 84 divisors (see below), whose sum is σ = 366442752. Its totient is φ = 42246144.

The previous prime is 127290811. The next prime is 127290829. The reversal of 127290816 is 618092721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127290811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 220320 + ... + 220896.

Almost surely, 2^127290816 is an apocalyptic number.

127290816 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 127290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183221376).

127290816 is an abundant number, since it is smaller than the sum of its proper divisors (239151936).

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

127290816 is a wasteful number, since it uses less digits than its factorization.

127290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 127290816 is about 11282.3231650224. The cubic root of 127290816 is about 503.0359500383.

The spelling of 127290816 in words is "one hundred twenty-seven million, two hundred ninety thousand, eight hundred sixteen".