127925640 has 96 divisors (see below), whose sum is σ = 417619800. Its totient is φ = 33960960.

The previous prime is 127925639. The next prime is 127925657. The reversal of 127925640 is 46529721.

127925640 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 2 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101485476 + 26440164 = 10074^2 + 5142^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 127925595 and 127925604.

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, 96180 + ... + 97500.

Almost surely, 2^127925640 is an apocalyptic number.

127925640 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 127925640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208809900).

127925640 is an abundant number, since it is smaller than the sum of its proper divisors (289694160).

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

127925640 is a wasteful number, since it uses less digits than its factorization.

127925640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

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

The square root of 127925640 is about 11310.4217427999. The cubic root of 127925640 is about 503.8708096690.

The spelling of 127925640 in words is "one hundred twenty-seven million, nine hundred twenty-five thousand, six hundred forty".