7962640 has 80 divisors (see below), whose sum is σ = 21605760. Its totient is φ = 2672640.

The previous prime is 7962637. The next prime is 7962641. The reversal of 7962640 is 462697.

7962640 is nontrivially palindromic in base 15.

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

It is a junction number, because it is equal to n+sod(n) for n = 7962596 and 7962605.

It is not an unprimeable number, because it can be changed into a prime (7962641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32920 + ... + 33160.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 2^7962640 is an apocalyptic number.

7962640 is a gapful number since it is divisible by the number (70) 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 7962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

7962640 is an abundant number, since it is smaller than the sum of its proper divisors (13643120).

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

7962640 is a wasteful number, since it uses less digits than its factorization.

7962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 7962640 is about 2821.8150187424. The cubic root of 7962640 is about 199.6881807631.

The spelling of 7962640 in words is "seven million, nine hundred sixty-two thousand, six hundred forty".