4964960 has 192 divisors, whose sum is σ = 16257024. Its totient is φ = 1382400.

The previous prime is 4964957. The next prime is 4965001. The reversal of 4964960 is 694694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160145 + ... + 160175.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

Almost surely, 2^4964960 is an apocalyptic number.

4964960 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 4964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

4964960 is an abundant number, since it is smaller than the sum of its proper divisors (11292064).

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

4964960 is a wasteful number, since it uses less digits than its factorization.

4964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 4964960 is about 2228.2190197555. The cubic root of 4964960 is about 170.5972075204.

The spelling of 4964960 in words is "four million, nine hundred sixty-four thousand, nine hundred sixty".