1020366640 has 80 divisors (see below), whose sum is σ = 2409595776. Its totient is φ = 401792000.

The previous prime is 1020366601. The next prime is 1020366667. The reversal of 1020366640 is 466630201.

1020366640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1020366640² = 2082296160049779200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020366599 and 1020366608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367225 + ... + 2367655.

Almost surely, 2^1020366640 is an apocalyptic number.

1020366640 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 1020366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204797888).

1020366640 is an abundant number, since it is smaller than the sum of its proper divisors (1389229136).

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

1020366640 is a wasteful number, since it uses less digits than its factorization.

1020366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1020366640 is about 31943.1783014778. The cubic root of 1020366640 is about 1006.7433056184.

Adding to 1020366640 its reverse (466630201), we get a palindrome (1486996841).

The spelling of 1020366640 in words is "one billion, twenty million, three hundred sixty-six thousand, six hundred forty".