10195680 has 96 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 2470400.

The previous prime is 10195673. The next prime is 10195681. The reversal of 10195680 is 8659101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10195681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4315 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (365148).

Almost surely, 2^10195680 is an apocalyptic number.

10195680 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 10195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

10195680 is an abundant number, since it is smaller than the sum of its proper divisors (24858528).

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

10195680 is a wasteful number, since it uses less digits than its factorization.

10195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 10195680 is about 3193.0674906741. The cubic root of 10195680 is about 216.8396672197.

The spelling of 10195680 in words is "ten million, one hundred ninety-five thousand, six hundred eighty".