7983690 has 64 divisors (see below), whose sum is σ = 22522752. Its totient is φ = 1785600.

The previous prime is 7983683. The next prime is 7983697. The reversal of 7983690 is 963897.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7983683) and next prime (7983697).

It is a super-2 number, since 2×7983690² = 127478612032200, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7⁷ + 9 + 8⁷ + 3¹⁴ + 6⁷ + 9² + 0 .

It is not an unprimeable number, because it can be changed into a prime (7983697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3360 + ... + 5220.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 2^7983690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7983690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376).

7983690 is an abundant number, since it is smaller than the sum of its proper divisors (14539062).

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

7983690 is a wasteful number, since it uses less digits than its factorization.

7983690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 7983690 is about 2825.5424258008. The cubic root of 7983690 is about 199.8639908619.

The spelling of 7983690 in words is "seven million, nine hundred eighty-three thousand, six hundred ninety".