920924688 has 80 divisors (see below), whose sum is σ = 2477984256. Its totient is φ = 294389760.

The previous prime is 920924681. The next prime is 920924701. The reversal of 920924688 is 886429029.

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

It is not an unprimeable number, because it can be changed into a prime (920924681) 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, 165406 + ... + 170882.

Almost surely, 2^920924688 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 920924688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238992128).

920924688 is an abundant number, since it is smaller than the sum of its proper divisors (1557059568).

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

920924688 is a wasteful number, since it uses less digits than its factorization.

920924688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 920924688 is about 30346.7409782336. The cubic root of 920924688 is about 972.9145653771.

The spelling of 920924688 in words is "nine hundred twenty million, nine hundred twenty-four thousand, six hundred eighty-eight".