127667652 has 48 divisors (see below), whose sum is σ = 344292480. Its totient is φ = 36064512.

The previous prime is 127667611. The next prime is 127667663. The reversal of 127667652 is 256766721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063 + ... + 16014.

It is an arithmetic number, because the mean of its divisors is an integer number (7172760).

Almost surely, 2^127667652 is an apocalyptic number.

127667652 is a gapful number since it is divisible by the number (12) 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 127667652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172146240).

127667652 is an abundant number, since it is smaller than the sum of its proper divisors (216624828).

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

127667652 is a wasteful number, since it uses less digits than its factorization.

127667652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17180 (or 17178 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 127667652 is about 11299.0111071722. The cubic root of 127667652 is about 503.5318624859.

The spelling of 127667652 in words is "one hundred twenty-seven million, six hundred sixty-seven thousand, six hundred fifty-two".