10964720 has 60 divisors (see below), whose sum is σ = 27638856. Its totient is φ = 4043520.

The previous prime is 10964663. The next prime is 10964741. The reversal of 10964720 is 2746901.

10964720 = 166² + 167² + ... + 334².

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13115 + ... + 13925.

Almost surely, 2^10964720 is an apocalyptic number.

10964720 is a gapful number since it is divisible by the number (10) 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 10964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819428).

10964720 is an abundant number, since it is smaller than the sum of its proper divisors (16674136).

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

10964720 is a wasteful number, since it uses less digits than its factorization.

10964720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10964720 is about 3311.3018587861. The cubic root of 10964720 is about 222.1599907224.

The spelling of 10964720 in words is "ten million, nine hundred sixty-four thousand, seven hundred twenty".