10777641 has 16 divisors (see below), whose sum is σ = 16512000. Its totient is φ = 6125328.

The previous prime is 10777631. The next prime is 10777651. The reversal of 10777641 is 14677701.

It is an interprime number because it is at equal distance from previous prime (10777631) and next prime (10777651).

It is not a de Polignac number, because 10777641 - 2⁶ = 10777577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10777631) 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, 2890 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (1032000).

Almost surely, 2^10777641 is an apocalyptic number.

It is an amenable number.

10777641 is a deficient number, since it is larger than the sum of its proper divisors (5734359).

10777641 is a wasteful number, since it uses less digits than its factorization.

10777641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788.

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 10777641 is about 3282.9317690138. The cubic root of 10777641 is about 220.8892451600.

The spelling of 10777641 in words is "ten million, seven hundred seventy-seven thousand, six hundred forty-one".