1020964077 has 24 divisors (see below), whose sum is σ = 1687345920. Its totient is φ = 582734880.

The previous prime is 1020964039. The next prime is 1020964081. The reversal of 1020964077 is 7704690201.

It is a happy number.

1020964077 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 640 + 7 + 7 = 666.

It is not a de Polignac number, because 1020964077 - 2¹⁸ = 1020701933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020964027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48499 + ... + 66287.

It is an arithmetic number, because the mean of its divisors is an integer number (70306080).

Almost surely, 2^1020964077 is an apocalyptic number.

It is an amenable number.

1020964077 is a deficient number, since it is larger than the sum of its proper divisors (666381843).

1020964077 is a wasteful number, since it uses less digits than its factorization.

1020964077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18713 (or 18710 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1020964077 is about 31952.5284914981. The cubic root of 1020964077 is about 1006.9397540734.

The spelling of 1020964077 in words is "one billion, twenty million, nine hundred sixty-four thousand, seventy-seven".