4513968 has 90 divisors (see below), whose sum is σ = 13423124. Its totient is φ = 1469664.

The previous prime is 4513933. The next prime is 4513973. The reversal of 4513968 is 8693154.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104955 + ... + 104997.

Almost surely, 2^4513968 is an apocalyptic number.

4513968 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 4513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711562).

4513968 is an abundant number, since it is smaller than the sum of its proper divisors (8909156).

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

4513968 is an frugal number, since it uses more digits than its factorization.

4513968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

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

The square root of 4513968 is about 2124.6100818738. The cubic root of 4513968 is about 165.2670057104.

The spelling of 4513968 in words is "four million, five hundred thirteen thousand, nine hundred sixty-eight".