1077002568 has 40 divisors (see below), whose sum is σ = 3016606230. Its totient is φ = 359000640.

The previous prime is 1077002567. The next prime is 1077002569. The reversal of 1077002568 is 8652007701.

It is an interprime number because it is at equal distance from previous prime (1077002567) and next prime (1077002569).

It can be written as a sum of positive squares in only one way, i.e., 625100004 + 451902564 = 25002^2 + 21258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1077002561) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 830373 + ... + 831668.

Almost surely, 2^1077002568 is an apocalyptic number.

1077002568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1077002568 is an abundant number, since it is smaller than the sum of its proper divisors (1939603662).

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

1077002568 is a wasteful number, since it uses less digits than its factorization.

1077002568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662059 (or 1662046 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1077002568 is about 32817.7172880747. The cubic root of 1077002568 is about 1025.0355150891.

The spelling of 1077002568 in words is "one billion, seventy-seven million, two thousand, five hundred sixty-eight".