4966960 has 40 divisors (see below), whose sum is σ = 11802816. Its totient is φ = 1943040.

The previous prime is 4966939. The next prime is 4966963. The reversal of 4966960 is 696694.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4966963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3100 + ... + 4420.

Almost surely, 2^4966960 is an apocalyptic number.

4966960 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 4966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901408).

4966960 is an abundant number, since it is smaller than the sum of its proper divisors (6835856).

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

4966960 is a wasteful number, since it uses less digits than its factorization.

4966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 4966960 is about 2228.6677634856. The cubic root of 4966960 is about 170.6201112707.

It can be divided in two parts, 49669 and 60, that added together give a square (49729 = 223²).

The spelling of 4966960 in words is "four million, nine hundred sixty-six thousand, nine hundred sixty".