1675537920 has 320 divisors, whose sum is σ = 6803850240. Its totient is φ = 382869504.

The previous prime is 1675537909. The next prime is 1675537937. The reversal of 1675537920 is 297355761.

1675537920 is a `hidden beast` number, since 1 + 6 + 7 + 553 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 482109 + ... + 485571.

It is an arithmetic number, because the mean of its divisors is an integer number (21262032).

Almost surely, 2^1675537920 is an apocalyptic number.

1675537920 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 1675537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401925120).

1675537920 is an abundant number, since it is smaller than the sum of its proper divisors (5128312320).

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

1675537920 is an equidigital number, since it uses as much as digits as its factorization.

1675537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 1675537920 is about 40933.3350705754. The cubic root of 1675537920 is about 1187.7309869410.

The spelling of 1675537920 in words is "one billion, six hundred seventy-five million, five hundred thirty-seven thousand, nine hundred twenty".