127457640 has 96 divisors (see below), whose sum is σ = 415658880. Its totient is φ = 33872256.

The previous prime is 127457623. The next prime is 127457663. The reversal of 127457640 is 46754721.

127457640 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 7 + 640 = 666.

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 = 127457595 and 127457604.

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, 174957 + ... + 175683.

It is an arithmetic number, because the mean of its divisors is an integer number (4329780).

Almost surely, 2^127457640 is an apocalyptic number.

127457640 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 127457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207829440).

127457640 is an abundant number, since it is smaller than the sum of its proper divisors (288201240).

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

127457640 is a wasteful number, since it uses less digits than its factorization.

127457640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 127457640 is about 11289.7139024866. The cubic root of 127457640 is about 503.2556093407.

The spelling of 127457640 in words is "one hundred twenty-seven million, four hundred fifty-seven thousand, six hundred forty".