127364616 has 128 divisors (see below), whose sum is σ = 381542400. Its totient is φ = 39251520.

The previous prime is 127364609. The next prime is 127364659. The reversal of 127364616 is 616463721.

It is a happy number.

127364616 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 646 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153595 + ... + 154421.

It is an arithmetic number, because the mean of its divisors is an integer number (2980800).

Almost surely, 2^127364616 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 127364616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190771200).

127364616 is an abundant number, since it is smaller than the sum of its proper divisors (254177784).

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

127364616 is a wasteful number, since it uses less digits than its factorization.

127364616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 127364616 is about 11285.5932941073. The cubic root of 127364616 is about 503.1331471026.

The spelling of 127364616 in words is "one hundred twenty-seven million, three hundred sixty-four thousand, six hundred sixteen".