10495680 has 168 divisors, whose sum is σ = 37167312. Its totient is φ = 2494464.

The previous prime is 10495649. The next prime is 10495697. The reversal of 10495680 is 8659401.

It is a super-2 number, since 2×10495680² = 220318597324800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361906 + ... + 361934.

It is an arithmetic number, because the mean of its divisors is an integer number (221234).

Almost surely, 2^10495680 is an apocalyptic number.

10495680 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 10495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18583656).

10495680 is an abundant number, since it is smaller than the sum of its proper divisors (26671632).

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

10495680 is a wasteful number, since it uses less digits than its factorization.

10495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10495680 is about 3239.7036901544. The cubic root of 10495680 is about 218.9459218865.

It can be divided in two parts, 10495 and 680, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 10495680 in words is "ten million, four hundred ninety-five thousand, six hundred eighty".