7361640 has 216 divisors, whose sum is σ = 28476630. Its totient is φ = 1647360.

The previous prime is 7361639. The next prime is 7361659. The reversal of 7361640 is 461637.

7361640 is a `hidden beast` number, since 7 + 3 + 616 + 40 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3175524 + 4186116 = 1782^2 + 2046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 566274 + ... + 566286.

Almost surely, 2^7361640 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 7361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238315).

7361640 is an abundant number, since it is smaller than the sum of its proper divisors (21114990).

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

7361640 is a wasteful number, since it uses less digits than its factorization.

7361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7361640 is about 2713.2342324245. The cubic root of 7361640 is about 194.5322120483.

It can be divided in two parts, 7361 and 640, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7361640 in words is "seven million, three hundred sixty-one thousand, six hundred forty".