7940160 has 112 divisors (see below), whose sum is σ = 28041600. Its totient is φ = 2115072.

The previous prime is 7940159. The next prime is 7940197. The reversal of 7940160 is 610497.

It is a super-2 number, since 2×7940160² = 126092281651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

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, 8181 + ... + 9099.

Almost surely, 2^7940160 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 7940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020800).

7940160 is an abundant number, since it is smaller than the sum of its proper divisors (20101440).

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

7940160 is a wasteful number, since it uses less digits than its factorization.

7940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7940160 is about 2817.8289515157. The cubic root of 7940160 is about 199.5000847984.

It can be divided in two parts, 7940 and 160, that added together give a square (8100 = 90²).

The spelling of 7940160 in words is "seven million, nine hundred forty thousand, one hundred sixty".