1020640776 has 128 divisors (see below), whose sum is σ = 2744586240. Its totient is φ = 315705600.

The previous prime is 1020640741. The next prime is 1020640787. The reversal of 1020640776 is 6770460201.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951251 + ... + 1951773.

It is an arithmetic number, because the mean of its divisors is an integer number (21442080).

Almost surely, 2^1020640776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020640776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372293120).

1020640776 is an abundant number, since it is smaller than the sum of its proper divisors (1723945464).

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

1020640776 is a wasteful number, since it uses less digits than its factorization.

1020640776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1020640776 is about 31947.4690077321. The cubic root of 1020640776 is about 1006.8334561780.

The spelling of 1020640776 in words is "one billion, twenty million, six hundred forty thousand, seven hundred seventy-six".