127967840 has 384 divisors, whose sum is σ = 438939648. Its totient is φ = 33914880.

The previous prime is 127967839. The next prime is 127967843. The reversal of 127967840 is 48769721.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 127967791 and 127967800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127967843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2722697 + ... + 2722743.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^127967840 is an apocalyptic number.

127967840 is a gapful number since it is divisible by the number (10) 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 127967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824).

127967840 is an abundant number, since it is smaller than the sum of its proper divisors (310971808).

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

127967840 is a wasteful number, since it uses less digits than its factorization.

127967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 127967840 is about 11312.2871250689. The cubic root of 127967840 is about 503.9262090674.

The spelling of 127967840 in words is "one hundred twenty-seven million, nine hundred sixty-seven thousand, eight hundred forty".