10191840 has 96 divisors (see below), whose sum is σ = 34020000. Its totient is φ = 2555904.

The previous prime is 10191833. The next prime is 10191889. The reversal of 10191840 is 4819101.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10191840.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7536 + ... + 8784.

It is an arithmetic number, because the mean of its divisors is an integer number (354375).

Almost surely, 2^10191840 is an apocalyptic number.

10191840 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 10191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010000).

10191840 is an abundant number, since it is smaller than the sum of its proper divisors (23828160).

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

10191840 is a wasteful number, since it uses less digits than its factorization.

10191840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 10191840 is about 3192.4661313787. The cubic root of 10191840 is about 216.8124410193.

The spelling of 10191840 in words is "ten million, one hundred ninety-one thousand, eight hundred forty".