1020757660 has 96 divisors (see below), whose sum is σ = 2401156800. Its totient is φ = 361912320.

The previous prime is 1020757651. The next prime is 1020757679. The reversal of 1020757660 is 667570201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495536 + ... + 2495944.

It is an arithmetic number, because the mean of its divisors is an integer number (25012050).

Almost surely, 2^1020757660 is an apocalyptic number.

1020757660 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 1020757660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200578400).

1020757660 is an abundant number, since it is smaller than the sum of its proper divisors (1380399140).

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

1020757660 is a wasteful number, since it uses less digits than its factorization.

1020757660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 1020757660 is about 31949.2982708541. The cubic root of 1020757660 is about 1006.8718889719.

The spelling of 1020757660 in words is "one billion, twenty million, seven hundred fifty-seven thousand, six hundred sixty".