10961964 has 72 divisors (see below), whose sum is σ = 30423120. Its totient is φ = 3307392.

The previous prime is 10961959. The next prime is 10961969. The reversal of 10961964 is 46916901.

It is an interprime number because it is at equal distance from previous prime (10961959) and next prime (10961969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10961969) 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, 27414 + ... + 27810.

Almost surely, 2^10961964 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 10961964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211560).

10961964 is an abundant number, since it is smaller than the sum of its proper divisors (19461156).

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

10961964 is a wasteful number, since it uses less digits than its factorization.

10961964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10961964 is about 3310.8856821098. The cubic root of 10961964 is about 222.1413757390.

The spelling of 10961964 in words is "ten million, nine hundred sixty-one thousand, nine hundred sixty-four".