763648 has 36 divisors (see below), whose sum is σ = 1614760. Its totient is φ = 359424.

The previous prime is 763627. The next prime is 763649. The reversal of 763648 is 846367.

Its product of digits (24192) is a multiple of the sum of its prime factors (192).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4786 + ... + 4942.

2⁷⁶³⁶⁴⁸ 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 763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807380).

763648 is an abundant number, since it is smaller than the sum of its proper divisors (851112).

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

763648 is a wasteful number, since it uses less digits than its factorization.

763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 763648 is about 873.8695554830. The cubic root of 763648 is about 91.4038325925.

The spelling of 763648 in words is "seven hundred sixty-three thousand, six hundred forty-eight".