4153968 has 120 divisors (see below), whose sum is σ = 14353248. Its totient is φ = 1092096.

The previous prime is 4153943. The next prime is 4153973. The reversal of 4153968 is 8693514.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12946 + ... + 13262.

Almost surely, 2^4153968 is an apocalyptic number.

4153968 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 4153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176624).

4153968 is an abundant number, since it is smaller than the sum of its proper divisors (10199280).

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

4153968 is a wasteful number, since it uses less digits than its factorization.

4153968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

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

The square root of 4153968 is about 2038.1285533548. The cubic root of 4153968 is about 160.7512587105.

The spelling of 4153968 in words is "four million, one hundred fifty-three thousand, nine hundred sixty-eight".