127652640 has 96 divisors (see below), whose sum is σ = 423299520. Its totient is φ = 32246784.

The previous prime is 127652633. The next prime is 127652641. The reversal of 127652640 is 46256721.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (127652641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122 + ... + 16118.

It is an arithmetic number, because the mean of its divisors is an integer number (4409370).

Almost surely, 2^127652640 is an apocalyptic number.

127652640 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 127652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211649760).

127652640 is an abundant number, since it is smaller than the sum of its proper divisors (295646880).

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

127652640 is a wasteful number, since it uses less digits than its factorization.

127652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14034 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 127652640 is about 11298.3467817199. The cubic root of 127652640 is about 503.5121255191.

The spelling of 127652640 in words is "one hundred twenty-seven million, six hundred fifty-two thousand, six hundred forty".