127041264 has 160 divisors (see below), whose sum is σ = 426877440. Its totient is φ = 35417088.

The previous prime is 127041253. The next prime is 127041269. The reversal of 127041264 is 462140721.

It is a super-2 number, since 2×127041264² = 32278965517435392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127041269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129544 + ... + 130520.

It is an arithmetic number, because the mean of its divisors is an integer number (2667984).

Almost surely, 2^127041264 is an apocalyptic number.

127041264 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 127041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213438720).

127041264 is an abundant number, since it is smaller than the sum of its proper divisors (299836176).

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

127041264 is a wasteful number, since it uses less digits than its factorization.

127041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127041264 is about 11271.2583148467. The cubic root of 127041264 is about 502.7070031525.

Adding to 127041264 its reverse (462140721), we get a palindrome (589181985).

The spelling of 127041264 in words is "one hundred twenty-seven million, forty-one thousand, two hundred sixty-four".