1675827840 has 256 divisors, whose sum is σ = 5634904320. Its totient is φ = 422805504.

The previous prime is 1675827833. The next prime is 1675827877. The reversal of 1675827840 is 487285761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1675827840.

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 31 ways as a sum of consecutive naturals, for example, 6049782 + ... + 6050058.

It is an arithmetic number, because the mean of its divisors is an integer number (22011345).

Almost surely, 2^1675827840 is an apocalyptic number.

1675827840 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 1675827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817452160).

1675827840 is an abundant number, since it is smaller than the sum of its proper divisors (3959076480).

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

1675827840 is a wasteful number, since it uses less digits than its factorization.

1675827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 1675827840 is about 40936.8762853249. The cubic root of 1675827840 is about 1187.7994877499.

The spelling of 1675827840 in words is "one billion, six hundred seventy-five million, eight hundred twenty-seven thousand, eight hundred forty".