127866816 has 336 divisors, whose sum is σ = 484266240. Its totient is φ = 32140800.

The previous prime is 127866799. The next prime is 127866839. The reversal of 127866816 is 618668721.

127866816 = 93³ + 94³ + ... + 155³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (193536) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124721 + ... + 4124751.

Almost surely, 2^127866816 is an apocalyptic number.

127866816 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 127866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242133120).

127866816 is an abundant number, since it is smaller than the sum of its proper divisors (356399424).

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

127866816 is a wasteful number, since it uses less digits than its factorization.

127866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 127866816 is about 11307.8210102566. The cubic root of 127866816 is about 503.7935662518.

The spelling of 127866816 in words is "one hundred twenty-seven million, eight hundred sixty-six thousand, eight hundred sixteen".