127025640 has 288 divisors, whose sum is σ = 506844000. Its totient is φ = 27433728.

The previous prime is 127025623. The next prime is 127025641. The reversal of 127025640 is 46520721.

127025640 is a `hidden beast` number, since 12 + 7 + 0 + 2 + 5 + 640 = 666.

It is a super-2 number, since 2×127025640² = 32271026434819200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127025641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334971 + ... + 335349.

It is an arithmetic number, because the mean of its divisors is an integer number (1759875).

Almost surely, 2^127025640 is an apocalyptic number.

127025640 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 127025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253422000).

127025640 is an abundant number, since it is smaller than the sum of its proper divisors (379818360).

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

127025640 is a wasteful number, since it uses less digits than its factorization.

127025640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 127025640 is about 11270.5652032185. The cubic root of 127025640 is about 502.6863940580.

The spelling of 127025640 in words is "one hundred twenty-seven million, twenty-five thousand, six hundred forty".