920524320 has 72 divisors (see below), whose sum is σ = 3141294156. Its totient is φ = 245472768.

The previous prime is 920524307. The next prime is 920524337. The reversal of 920524320 is 23425029.

It can be written as a sum of positive squares in 2 ways, for example, as 886371984 + 34152336 = 29772^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×920524320³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318187 + ... + 321066.

Almost surely, 2^920524320 is an apocalyptic number.

920524320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

920524320 is an abundant number, since it is smaller than the sum of its proper divisors (2220769836).

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

920524320 is a wasteful number, since it uses less digits than its factorization.

920524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639274 (or 639263 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 920524320 is about 30340.1437043400. The cubic root of 920524320 is about 972.7735548162.

Adding to 920524320 its reverse (23425029), we get a palindrome (943949349).

The spelling of 920524320 in words is "nine hundred twenty million, five hundred twenty-four thousand, three hundred twenty".