1040825680 has 40 divisors (see below), whose sum is σ = 2562271272. Its totient is φ = 391839744.

The previous prime is 1040825671. The next prime is 1040825683. The reversal of 1040825680 is 865280401.

1040825680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106667584 + 934158096 = 10328^2 + 30564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1040825680² = 2166636192294924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040825683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381297 + ... + 384016.

Almost surely, 2^1040825680 is an apocalyptic number.

1040825680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040825680 is an abundant number, since it is smaller than the sum of its proper divisors (1521445592).

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

1040825680 is a wasteful number, since it uses less digits than its factorization.

1040825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765343 (or 765337 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1040825680 is about 32261.8300782829. The cubic root of 1040825680 is about 1013.4274564387.

The spelling of 1040825680 in words is "one billion, forty million, eight hundred twenty-five thousand, six hundred eighty".