920515104 has 144 divisors (see below), whose sum is σ = 2778808032. Its totient is φ = 299593728.

The previous prime is 920515103. The next prime is 920515117. The reversal of 920515104 is 401515029.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (920515103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332992 + ... + 335744.

It is an arithmetic number, because the mean of its divisors is an integer number (19297278).

Almost surely, 2^920515104 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 920515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389404016).

920515104 is an abundant number, since it is smaller than the sum of its proper divisors (1858292928).

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

920515104 is a wasteful number, since it uses less digits than its factorization.

920515104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 920515104 is about 30339.9918259712. The cubic root of 920515104 is about 972.7703084378.

The spelling of 920515104 in words is "nine hundred twenty million, five hundred fifteen thousand, one hundred four".