10711904 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 4128768.

The previous prime is 10711879. The next prime is 10711919. The reversal of 10711904 is 40911701.

It is a super-2 number, since 2×10711904² = 229489774610432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10711904.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 110384 + ... + 110480.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^10711904 is an apocalyptic number.

10711904 is a gapful number since it is divisible by the number (14) 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 10711904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

10711904 is an abundant number, since it is smaller than the sum of its proper divisors (15959776).

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

10711904 is a wasteful number, since it uses less digits than its factorization.

10711904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 10711904 is about 3272.9045204527. The cubic root of 10711904 is about 220.4392326759.

It can be divided in two parts, 1071 and 1904, that multiplied together give a square (2039184 = 1428²).

The spelling of 10711904 in words is "ten million, seven hundred eleven thousand, nine hundred four".