10964500 has 24 divisors (see below), whose sum is σ = 23947560. Its totient is φ = 4385600.

The previous prime is 10964497. The next prime is 10964509. The reversal of 10964500 is 546901.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 10732176 = 482^2 + 3276^2 .

It is a super-3 number, since 3×10964500³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964509) 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 7 ways as a sum of consecutive naturals, for example, 10465 + ... + 11464.

It is an arithmetic number, because the mean of its divisors is an integer number (997815).

Almost surely, 2^10964500 is an apocalyptic number.

10964500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10964500 is an abundant number, since it is smaller than the sum of its proper divisors (12983060).

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

10964500 is a wasteful number, since it uses less digits than its factorization.

10964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21948 (or 21936 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 10964500 is about 3311.2686390566. The cubic root of 10964500 is about 222.1585048803.

The spelling of 10964500 in words is "ten million, nine hundred sixty-four thousand, five hundred".