7385940 has 72 divisors (see below), whose sum is σ = 23030280. Its totient is φ = 1914624.

The previous prime is 7385897. The next prime is 7385953. The reversal of 7385940 is 495837.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 7033104 = 594^2 + 2652^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 7385895 and 7385904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6106 + ... + 7214.

It is an arithmetic number, because the mean of its divisors is an integer number (319865).

Almost surely, 2^7385940 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 7385940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515140).

7385940 is an abundant number, since it is smaller than the sum of its proper divisors (15644340).

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

7385940 is a wasteful number, since it uses less digits than its factorization.

7385940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7385940 is about 2717.7085936502. The cubic root of 7385940 is about 194.7460204304.

The spelling of 7385940 in words is "seven million, three hundred eighty-five thousand, nine hundred forty".