7683984 has 225 divisors, whose sum is σ = 28436331. Its totient is φ = 1995840.

The previous prime is 7683967. The next prime is 7683989. The reversal of 7683984 is 4893867.

7683984 = T₁₂₀ + T₁₂₁ + ... + T₃₆₂.

It is a happy number.

The square root of 7683984 is 2772.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×7683984² = 118087220224512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime factors (56).

It is not an unprimeable number, because it can be changed into a prime (7683989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 698539 + ... + 698549.

Almost surely, 2^7683984 is an apocalyptic number.

7683984 is the 2772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7683984

7683984 is an abundant number, since it is smaller than the sum of its proper divisors (20752347).

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

7683984 is a wasteful number, since it uses less digits than its factorization.

7683984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 7683984 is about 197.3310759826.

The spelling of 7683984 in words is "seven million, six hundred eighty-three thousand, nine hundred eighty-four".