10777540 has 12 divisors (see below), whose sum is σ = 22632876. Its totient is φ = 4311008.

The previous prime is 10777519. The next prime is 10777561. The reversal of 10777540 is 4577701.

It is an interprime number because it is at equal distance from previous prime (10777519) and next prime (10777561).

It can be written as a sum of positive squares in 2 ways, for example, as 8491396 + 2286144 = 2914^2 + 1512^2 .

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 3 ways as a sum of consecutive naturals, for example, 269419 + ... + 269458.

It is an arithmetic number, because the mean of its divisors is an integer number (1886073).

Almost surely, 2^10777540 is an apocalyptic number.

10777540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10777540 is an abundant number, since it is smaller than the sum of its proper divisors (11855336).

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

10777540 is a wasteful number, since it uses less digits than its factorization.

10777540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538886 (or 538884 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 10777540 is about 3282.9163863857. The cubic root of 10777540 is about 220.8885551549. Note that the first 3 decimals are identical.

The spelling of 10777540 in words is "ten million, seven hundred seventy-seven thousand, five hundred forty".