7648140 has 48 divisors (see below), whose sum is σ = 21944160. Its totient is φ = 1989120.

The previous prime is 7648097. The next prime is 7648163. The reversal of 7648140 is 418467.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7648098 and 7648107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906 + ... + 4014.

It is an arithmetic number, because the mean of its divisors is an integer number (457170).

Almost surely, 2^7648140 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 7648140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972080).

7648140 is an abundant number, since it is smaller than the sum of its proper divisors (14296020).

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

7648140 is a wasteful number, since it uses less digits than its factorization.

7648140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7648140 is about 2765.5270745375. The cubic root of 7648140 is about 197.0237630984.

The spelling of 7648140 in words is "seven million, six hundred forty-eight thousand, one hundred forty".