1040897680 has 80 divisors (see below), whose sum is σ = 2474841600. Its totient is φ = 407047680.

The previous prime is 1040897657. The next prime is 1040897699. The reversal of 1040897680 is 867980401.

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

It is a super-3 number, since 3×1040897680³ (a number of 28 digits) contains 333 as substring.

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, 688125 + ... + 689635.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^1040897680 is an apocalyptic number.

1040897680 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 1040897680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

1040897680 is an abundant number, since it is smaller than the sum of its proper divisors (1433943920).

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

1040897680 is a wasteful number, since it uses less digits than its factorization.

1040897680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 1040897680 is about 32262.9459287276. The cubic root of 1040897680 is about 1013.4508241348.

The spelling of 1040897680 in words is "one billion, forty million, eight hundred ninety-seven thousand, six hundred eighty".