4953960 has 160 divisors (see below), whose sum is σ = 18295200. Its totient is φ = 1192320.

The previous prime is 4953943. The next prime is 4953961. The reversal of 4953960 is 693594.

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

It is not an unprimeable number, because it can be changed into a prime (4953961) 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, 35571 + ... + 35709.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

Almost surely, 2^4953960 is an apocalyptic number.

4953960 is a gapful number since it is divisible by the number (40) 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 4953960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147600).

4953960 is an abundant number, since it is smaller than the sum of its proper divisors (13341240).

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

4953960 is a wasteful number, since it uses less digits than its factorization.

4953960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4953960 is about 2225.7493120295. The cubic root of 4953960 is about 170.4711268233.

The spelling of 4953960 in words is "four million, nine hundred fifty-three thousand, nine hundred sixty".