127563264 has 240 divisors, whose sum is σ = 408545280. Its totient is φ = 38154240.

The previous prime is 127563263. The next prime is 127563269. The reversal of 127563264 is 462365721.

127563264 is a `hidden beast` number, since 12 + 7 + 5 + 632 + 6 + 4 = 666.

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 (127563263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2714089 + ... + 2714135.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 2^127563264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

127563264 is an abundant number, since it is smaller than the sum of its proper divisors (280982016).

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

127563264 is a wasteful number, since it uses less digits than its factorization.

127563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 127563264 is about 11294.3908202258. The cubic root of 127563264 is about 503.3945867396.

It can be divided in two parts, 127 and 563264, that added together give a triangular number (563391 = T₁₀₆₁).

The spelling of 127563264 in words is "one hundred twenty-seven million, five hundred sixty-three thousand, two hundred sixty-four".