8390996640 has 288 divisors, whose sum is σ = 31161560976. Its totient is φ = 2043740160.

The previous prime is 8390996609. The next prime is 8390996659. The reversal of 8390996640 is 466990938.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1453439376 + 6937557264 = 38124^2 + 83292^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8390996640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813530 + ... + 1818150.

Almost surely, 2^8390996640 is an apocalyptic number.

8390996640 is a gapful number since it is divisible by the number (80) 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 8390996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580780488).

8390996640 is an abundant number, since it is smaller than the sum of its proper divisors (22770564336).

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

8390996640 is a wasteful number, since it uses less digits than its factorization.

8390996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 8390996640 is about 91602.3833751066. The cubic root of 8390996640 is about 2032.0661855599.

The spelling of 8390996640 in words is "eight billion, three hundred ninety million, nine hundred ninety-six thousand, six hundred forty".