127766034 has 48 divisors (see below), whose sum is σ = 307139040. Its totient is φ = 38057280.

The previous prime is 127766011. The next prime is 127766039. The reversal of 127766034 is 430667721.

It is a self number, because there is not a number n which added to its sum of digits gives 127766034.

It is not an unprimeable number, because it can be changed into a prime (127766039) 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, 6214 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (6398730).

Almost surely, 2^127766034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127766034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153569520).

127766034 is an abundant number, since it is smaller than the sum of its proper divisors (179373006).

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

127766034 is a wasteful number, since it uses less digits than its factorization.

127766034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11012 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 127766034 is about 11303.3638356022. The cubic root of 127766034 is about 503.6611715458.

The spelling of 127766034 in words is "one hundred twenty-seven million, seven hundred sixty-six thousand, thirty-four".