10002080 has 48 divisors (see below), whose sum is σ = 25782624. Its totient is φ = 3636480.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002080 is 8020001.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (537138).

Almost surely, 2^10002080 is an apocalyptic number.

10002080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002080 is an abundant number, since it is smaller than the sum of its proper divisors (15780544).

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

10002080 is a wasteful number, since it uses less digits than its factorization.

10002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10002080 is about 3162.6065199452. The cubic root of 10002080 is about 215.4584053815.

Adding to 10002080 its reverse (8020001), we get a palindrome (18022081).

The spelling of 10002080 in words is "ten million, two thousand, eighty".