9782640 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2232576.

The previous prime is 9782623. The next prime is 9782653. The reversal of 9782640 is 462879.

9782640 is a `hidden beast` number, since 9 + 7 + 8 + 2 + 640 = 666.

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 = 9782595 and 9782604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14797 + ... + 15443.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^9782640 is an apocalyptic number.

9782640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

9782640 is an abundant number, since it is smaller than the sum of its proper divisors (28786320).

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

9782640 is a wasteful number, since it uses less digits than its factorization.

9782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9782640 is about 3127.7212151981. The cubic root of 9782640 is about 213.8710610004.

The spelling of 9782640 in words is "nine million, seven hundred eighty-two thousand, six hundred forty".