10771520 has 56 divisors (see below), whose sum is σ = 26307288. Its totient is φ = 4198400.

The previous prime is 10771517. The next prime is 10771547. The reversal of 10771520 is 2517701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 10705984 = 256^2 + 3272^2 .

It is a super-2 number, since 2×10771520² = 232051286220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12710 + ... + 13530.

It is an arithmetic number, because the mean of its divisors is an integer number (469773).

Almost surely, 2^10771520 is an apocalyptic number.

10771520 is a gapful number since it is divisible by the number (10) 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 10771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153644).

10771520 is an abundant number, since it is smaller than the sum of its proper divisors (15535768).

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

10771520 is an equidigital number, since it uses as much as digits as its factorization.

10771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 10771520 is about 3281.9993906154. Note that the first 3 decimals coincide. The cubic root of 10771520 is about 220.8474203268.

The spelling of 10771520 in words is "ten million, seven hundred seventy-one thousand, five hundred twenty".