1675963872 has 240 divisors, whose sum is σ = 5506123392. Its totient is φ = 495694080.

The previous prime is 1675963843. The next prime is 1675963879. The reversal of 1675963872 is 2783695761.

1675963872 is a `hidden beast` number, since 16 + 7 + 596 + 38 + 7 + 2 = 666.

1675963872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1675963879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1225333 + ... + 1226699.

Almost surely, 2^1675963872 is an apocalyptic number.

1675963872 is a gapful number since it is divisible by the number (12) 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 1675963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753061696).

1675963872 is an abundant number, since it is smaller than the sum of its proper divisors (3830159520).

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

1675963872 is a wasteful number, since it uses less digits than its factorization.

1675963872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1426 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 1675963872 is about 40938.5377364654. The cubic root of 1675963872 is about 1187.8316259693.

The spelling of 1675963872 in words is "one billion, six hundred seventy-five million, nine hundred sixty-three thousand, eight hundred seventy-two".