783648 has 48 divisors (see below), whose sum is σ = 2288160. Its totient is φ = 260928.

The previous prime is 783647. The next prime is 783661. The reversal of 783648 is 846387.

783648 is a `hidden beast` number, since 7 + 8 + 3 + 648 = 666.

783648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×783648² = 1228208375808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 783648.

It is not an unprimeable number, because it can be changed into a prime (783641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (47670).

2⁷⁸³⁶⁴⁸ 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 783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144080).

783648 is an abundant number, since it is smaller than the sum of its proper divisors (1504512).

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

783648 is a wasteful number, since it uses less digits than its factorization.

783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 783648 is about 885.2389507924. The cubic root of 783648 is about 92.1949238300.

It can be divided in two parts, 783 and 648, that added together give a triangular number (1431 = T₅₃).

The spelling of 783648 in words is "seven hundred eighty-three thousand, six hundred forty-eight".