7841960 has 48 divisors (see below), whose sum is σ = 20530260. Its totient is φ = 2688000.

The previous prime is 7841959. The next prime is 7841969. The reversal of 7841960 is 691487.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 988036 = 2618^2 + 994^2 .

It is a super-2 number, since 2×7841960² = 122992673283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7841960.

It is not an unprimeable number, because it can be changed into a prime (7841969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41 + ... + 3960.

Almost surely, 2^7841960 is an apocalyptic number.

7841960 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 7841960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265130).

7841960 is an abundant number, since it is smaller than the sum of its proper divisors (12688300).

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

7841960 is a wasteful number, since it uses less digits than its factorization.

7841960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7841960 is about 2800.3499781277. The cubic root of 7841960 is about 198.6742311030.

It can be divided in two parts, 784 and 1960, that added together give a cube (2744 = 14³).

The spelling of 7841960 in words is "seven million, eight hundred forty-one thousand, nine hundred sixty".