1675919840 has 384 divisors, whose sum is σ = 5173217280. Its totient is φ = 499580928.

The previous prime is 1675919827. The next prime is 1675919851. The reversal of 1675919840 is 489195761.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18830516 + ... + 18830604.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2^1675919840 is an apocalyptic number.

1675919840 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 1675919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586608640).

1675919840 is an abundant number, since it is smaller than the sum of its proper divisors (3497297440).

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

1675919840 is a wasteful number, since it uses less digits than its factorization.

1675919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The square root of 1675919840 is about 40937.9999511456. Note that the first 4 decimals coincide. The cubic root of 1675919840 is about 1187.8212233862.

The spelling of 1675919840 in words is "one billion, six hundred seventy-five million, nine hundred nineteen thousand, eight hundred forty".