10731952 has 80 divisors (see below), whose sum is σ = 26855424. Its totient is φ = 4032000.

The previous prime is 10731937. The next prime is 10731953. The reversal of 10731952 is 25913701.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10731952.

It is not an unprimeable number, because it can be changed into a prime (10731953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38052 + ... + 38332.

Almost surely, 2^10731952 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 10731952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427712).

10731952 is an abundant number, since it is smaller than the sum of its proper divisors (16123472).

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

10731952 is a wasteful number, since it uses less digits than its factorization.

10731952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 10731952 is about 3275.9658117874. The cubic root of 10731952 is about 220.5766689200.

It can be divided in two parts, 1073 and 1952, that added together give a square (3025 = 55²).

The spelling of 10731952 in words is "ten million, seven hundred thirty-one thousand, nine hundred fifty-two".