4962960 has 120 divisors (see below), whose sum is σ = 17090424. Its totient is φ = 1290240.

The previous prime is 4962953. The next prime is 4962967. The reversal of 4962960 is 692694.

It is an interprime number because it is at equal distance from previous prime (4962953) and next prime (4962967).

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 4511376 = 672^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (4962967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43864 + ... + 43976.

Almost surely, 2^4962960 is an apocalyptic number.

4962960 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 4962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545212).

4962960 is an abundant number, since it is smaller than the sum of its proper divisors (12127464).

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

4962960 is a wasteful number, since it uses less digits than its factorization.

4962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4962960 is about 2227.7701856341. The cubic root of 4962960 is about 170.5742976186.

The spelling of 4962960 in words is "four million, nine hundred sixty-two thousand, nine hundred sixty".