1675949616 has 240 divisors, whose sum is σ = 5362156800. Its totient is φ = 502536960.

The previous prime is 1675949609. The next prime is 1675949617. The reversal of 1675949616 is 6169495761.

It is a happy number.

1675949616 is a `hidden beast` number, since 16 + 7 + 5 + 9 + 4 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1675949617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6372301 + ... + 6372563.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^1675949616 is an apocalyptic number.

1675949616 is a gapful number since it is divisible by the number (16) 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 1675949616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681078400).

1675949616 is an abundant number, since it is smaller than the sum of its proper divisors (3686207184).

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

1675949616 is a wasteful number, since it uses less digits than its factorization.

1675949616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 1675949616 is about 40938.3636214248. The cubic root of 1675949616 is about 1187.8282580018.

The spelling of 1675949616 in words is "one billion, six hundred seventy-five million, nine hundred forty-nine thousand, six hundred sixteen".