747648 has 96 divisors (see below), whose sum is σ = 2386800. Its totient is φ = 222720.

The previous prime is 747647. The next prime is 747673. The reversal of 747648 is 846747.

It is a happy number.

747648 is a `hidden beast` number, since 7 + 4 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (747647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12643 + ... + 12701.

2⁷⁴⁷⁶⁴⁸ 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 747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193400).

747648 is an abundant number, since it is smaller than the sum of its proper divisors (1639152).

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

747648 is a wasteful number, since it uses less digits than its factorization.

747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 747648 is about 864.6664096633. Note that the first 3 decimals coincide. The cubic root of 747648 is about 90.7609553516.

Subtracting 747648 from its reverse (846747), we obtain a palindrome (99099).

The spelling of 747648 in words is "seven hundred forty-seven thousand, six hundred forty-eight".