10891764 has 108 divisors (see below), whose sum is σ = 32265324. Its totient is φ = 3068928.

The previous prime is 10891763. The next prime is 10891787. The reversal of 10891764 is 46719801.

10891764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 9180900 = 1308^2 + 3030^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10891763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294354 + ... + 294390.

It is an arithmetic number, because the mean of its divisors is an integer number (298753).

Almost surely, 2^10891764 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 10891764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132662).

10891764 is an abundant number, since it is smaller than the sum of its proper divisors (21373560).

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

10891764 is a wasteful number, since it uses less digits than its factorization.

10891764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10891764 is about 3300.2672619047. The cubic root of 10891764 is about 221.6661649099. Note that the first 3 decimals are identical.

It can be divided in two parts, 1089 and 1764, that multiplied together give a square (1920996 = 1386²).

The spelling of 10891764 in words is "ten million, eight hundred ninety-one thousand, seven hundred sixty-four".