1675224960 has 256 divisors, whose sum is σ = 5545013760. Its totient is φ = 429907968.

The previous prime is 1675224959. The next prime is 1675224973. The reversal of 1675224960 is 694225761.

1675224960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8503582 + ... + 8503778.

It is an arithmetic number, because the mean of its divisors is an integer number (21660210).

Almost surely, 2^1675224960 is an apocalyptic number.

1675224960 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 1675224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772506880).

1675224960 is an abundant number, since it is smaller than the sum of its proper divisors (3869788800).

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

1675224960 is a wasteful number, since it uses less digits than its factorization.

1675224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1675224960 is about 40929.5120909106. The cubic root of 1675224960 is about 1187.6570334899.

The spelling of 1675224960 in words is "one billion, six hundred seventy-five million, two hundred twenty-four thousand, nine hundred sixty".