920595648 has 112 divisors (see below), whose sum is σ = 2792033024. Its totient is φ = 262241280.

The previous prime is 920595647. The next prime is 920595649. The reversal of 920595648 is 846595029.

It is an interprime number because it is at equal distance from previous prime (920595647) and next prime (920595649).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 920595597 and 920595606.

It is not an unprimeable number, because it can be changed into a prime (920595647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565011 + ... + 566637.

Almost surely, 2^920595648 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 920595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396016512).

920595648 is an abundant number, since it is smaller than the sum of its proper divisors (1871437376).

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

920595648 is a wasteful number, since it uses less digits than its factorization.

920595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 920595648 is about 30341.3191539195. The cubic root of 920595648 is about 972.7986797001.

The spelling of 920595648 in words is "nine hundred twenty million, five hundred ninety-five thousand, six hundred forty-eight".