1002676896 has 288 divisors, whose sum is σ = 3249372672. Its totient is φ = 291133440.

The previous prime is 1002676891. The next prime is 1002676901. The reversal of 1002676896 is 6986762001.

It is an interprime number because it is at equal distance from previous prime (1002676891) and next prime (1002676901).

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

It is not an unprimeable number, because it can be changed into a prime (1002676891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6151311 + ... + 6151473.

It is an arithmetic number, because the mean of its divisors is an integer number (11282544).

Almost surely, 2^1002676896 is an apocalyptic number.

1002676896 is a gapful number since it is divisible by the number (16) 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 1002676896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624686336).

1002676896 is an abundant number, since it is smaller than the sum of its proper divisors (2246695776).

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

1002676896 is a wasteful number, since it uses less digits than its factorization.

1002676896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1002676896 is about 31665.0737564276. The cubic root of 1002676896 is about 1000.8915036517.

The spelling of 1002676896 in words is "one billion, two million, six hundred seventy-six thousand, eight hundred ninety-six".