127465920 has 112 divisors (see below), whose sum is σ = 449701920. Its totient is φ = 33988608.

The previous prime is 127465913. The next prime is 127465937. The reversal of 127465920 is 29564721.

127465920 is a `hidden beast` number, since 1 + 27 + 46 + 592 + 0 = 666.

It is a super-2 number, since 2×127465920² = 32495121522892800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264 + ... + 16016.

Almost surely, 2^127465920 is an apocalyptic number.

127465920 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 127465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224850960).

127465920 is an abundant number, since it is smaller than the sum of its proper divisors (322236000).

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

127465920 is a wasteful number, since it uses less digits than its factorization.

127465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 127465920 is about 11290.0806020152. The cubic root of 127465920 is about 503.2665067291.

The spelling of 127465920 in words is "one hundred twenty-seven million, four hundred sixty-five thousand, nine hundred twenty".