4962640 has 80 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 1802240.

The previous prime is 4962637. The next prime is 4962647. The reversal of 4962640 is 462694.

It can be written as a sum of positive squares in 8 ways, for example, as 652864 + 4309776 = 808^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962647) 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 15 ways as a sum of consecutive naturals, for example, 55716 + ... + 55804.

It is an arithmetic number, because the mean of its divisors is an integer number (158193).

Almost surely, 2^4962640 is an apocalyptic number.

4962640 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 4962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

4962640 is an abundant number, since it is smaller than the sum of its proper divisors (7692800).

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

4962640 is a wasteful number, since it uses less digits than its factorization.

4962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4962640 is about 2227.6983637827. The cubic root of 4962640 is about 170.5706314631.

It can be divided in two parts, 496 and 2640, that added together give a square (3136 = 56²).

The spelling of 4962640 in words is "four million, nine hundred sixty-two thousand, six hundred forty".