127835064 has 128 divisors (see below), whose sum is σ = 412992000. Its totient is φ = 35880192.

The previous prime is 127835033. The next prime is 127835069. The reversal of 127835064 is 460538721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127835069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88492 + ... + 89924.

It is an arithmetic number, because the mean of its divisors is an integer number (3226500).

Almost surely, 2^127835064 is an apocalyptic number.

127835064 is a gapful number since it is divisible by the number (14) 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 127835064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206496000).

127835064 is an abundant number, since it is smaller than the sum of its proper divisors (285156936).

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

127835064 is a wasteful number, since it uses less digits than its factorization.

127835064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 127835064 is about 11306.4169390661. The cubic root of 127835064 is about 503.7518619794.

The spelling of 127835064 in words is "one hundred twenty-seven million, eight hundred thirty-five thousand, sixty-four".