4531968 has 108 divisors (see below), whose sum is σ = 14986608. Its totient is φ = 1290240.

The previous prime is 4531951. The next prime is 4531973. The reversal of 4531968 is 8691354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15988 + ... + 16268.

Almost surely, 2^4531968 is an apocalyptic number.

4531968 is a gapful number since it is divisible by the number (48) 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 4531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493304).

4531968 is an abundant number, since it is smaller than the sum of its proper divisors (10454640).

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

4531968 is a wasteful number, since it uses less digits than its factorization.

4531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4531968 is about 2128.8419387075. The cubic root of 4531968 is about 165.4863885022.

The spelling of 4531968 in words is "four million, five hundred thirty-one thousand, nine hundred sixty-eight".