10075768 has 16 divisors (see below), whose sum is σ = 18990000. Its totient is φ = 5011776.

The previous prime is 10075763. The next prime is 10075787. The reversal of 10075768 is 86757001.

It is a super-2 number, since 2×10075768² = 203042201579648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1573 + ... + 4756.

It is an arithmetic number, because the mean of its divisors is an integer number (1186875).

Almost surely, 2^10075768 is an apocalyptic number.

It is an amenable number.

10075768 is a deficient number, since it is larger than the sum of its proper divisors (8914232).

10075768 is a wasteful number, since it uses less digits than its factorization.

10075768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 10075768 is about 3174.2350259551. The cubic root of 10075768 is about 215.9862245444.

It can be divided in two parts, 1007576 and 8, that multiplied together give a palindrome (8060608).

The spelling of 10075768 in words is "ten million, seventy-five thousand, seven hundred sixty-eight".