10127964 has 96 divisors (see below), whose sum is σ = 30030336. Its totient is φ = 2580480.

The previous prime is 10127963. The next prime is 10127993. The reversal of 10127964 is 46972101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89572 + ... + 89684.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 2^10127964 is an apocalyptic number.

10127964 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 10127964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168).

10127964 is an abundant number, since it is smaller than the sum of its proper divisors (19902372).

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

10127964 is a wasteful number, since it uses less digits than its factorization.

10127964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10127964 is about 3182.4462289252. The cubic root of 10127964 is about 216.3585437469.

The spelling of 10127964 in words is "ten million, one hundred twenty-seven thousand, nine hundred sixty-four".