127863216 has 120 divisors (see below), whose sum is σ = 388620960. Its totient is φ = 39011328.

The previous prime is 127863193. The next prime is 127863221. The reversal of 127863216 is 612368721.

127863216 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 632 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312420 + ... + 312828.

It is an arithmetic number, because the mean of its divisors is an integer number (3238508).

Almost surely, 2^127863216 is an apocalyptic number.

127863216 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 127863216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194310480).

127863216 is an abundant number, since it is smaller than the sum of its proper divisors (260757744).

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

127863216 is a wasteful number, since it uses less digits than its factorization.

127863216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 127863216 is about 11307.6618272745. The cubic root of 127863216 is about 503.7888382233.

The spelling of 127863216 in words is "one hundred twenty-seven million, eight hundred sixty-three thousand, two hundred sixteen".