10760964 has 48 divisors (see below), whose sum is σ = 26492928. Its totient is φ = 3392928.

The previous prime is 10760957. The next prime is 10760977. The reversal of 10760964 is 46906701.

10760964 = T₉₆ + T₉₇ + ... + T₄₀₂.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34899 + ... + 35205.

It is an arithmetic number, because the mean of its divisors is an integer number (551936).

Almost surely, 2^10760964 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 10760964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246464).

10760964 is an abundant number, since it is smaller than the sum of its proper divisors (15731964).

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

10760964 is a wasteful number, since it uses less digits than its factorization.

10760964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10760964 is about 3280.3908303737. The cubic root of 10760964 is about 220.7752538692.

The spelling of 10760964 in words is "ten million, seven hundred sixty thousand, nine hundred sixty-four".