5962640 has 40 divisors (see below), whose sum is σ = 14066808. Its totient is φ = 2350080.

The previous prime is 5962613. The next prime is 5962643. The reversal of 5962640 is 462695.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 5071504 = 944^2 + 2252^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5962597 and 5962606.

It is not an unprimeable number, because it can be changed into a prime (5962643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5330 + ... + 6350.

Almost surely, 2^5962640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033404).

5962640 is an abundant number, since it is smaller than the sum of its proper divisors (8104168).

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

5962640 is a wasteful number, since it uses less digits than its factorization.

5962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5962640 is about 2441.8517563521. The cubic root of 5962640 is about 181.3341202869.

Subtracting from 5962640 its reverse (462695), we obtain a palindrome (5499945).

The spelling of 5962640 in words is "five million, nine hundred sixty-two thousand, six hundred forty".