10082960 has 20 divisors (see below), whose sum is σ = 23443068. Its totient is φ = 4033152.

The previous prime is 10082953. The next prime is 10082971. The reversal of 10082960 is 6928001.

10082960 = T₂₇₂ + T₂₇₃ + ... + T₄₃₁.

It can be written as a sum of positive squares in 2 ways, for example, as 2421136 + 7661824 = 1556^2 + 2768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62939 + ... + 63098.

Almost surely, 2^10082960 is an apocalyptic number.

10082960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10082960 is an abundant number, since it is smaller than the sum of its proper divisors (13360108).

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

10082960 is a wasteful number, since it uses less digits than its factorization.

10082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126050 (or 126044 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10082960 is about 3175.3676952441. The cubic root of 10082960 is about 216.0376020500.

The spelling of 10082960 in words is "ten million, eighty-two thousand, nine hundred sixty".