7948640 has 96 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2649600.

The previous prime is 7948637. The next prime is 7948643. The reversal of 7948640 is 468497.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7948637) and next prime (7948643).

It is a super-3 number, since 3×7948640³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7948594 and 7948603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52565 + ... + 52715.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^7948640 is an apocalyptic number.

7948640 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 7948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

7948640 is an abundant number, since it is smaller than the sum of its proper divisors (14114464).

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

7948640 is a wasteful number, since it uses less digits than its factorization.

7948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 7948640 is about 2819.3332545125. Note that the first 3 decimals coincide. The cubic root of 7948640 is about 199.5710807992.

The spelling of 7948640 in words is "seven million, nine hundred forty-eight thousand, six hundred forty".