84965920 has 48 divisors (see below), whose sum is σ = 216178200. Its totient is φ = 31371264.

The previous prime is 84965917. The next prime is 84965927. The reversal of 84965920 is 2956948.

It can be written as a sum of positive squares in 4 ways, for example, as 60403984 + 24561936 = 7772^2 + 4956^2 .

It is a super-2 number, since 2×84965920² = 14438415122892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84965927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18345 + ... + 22504.

Almost surely, 2^84965920 is an apocalyptic number.

84965920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84965920 is an abundant number, since it is smaller than the sum of its proper divisors (131212280).

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

84965920 is a wasteful number, since it uses less digits than its factorization.

84965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40877 (or 40869 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 84965920 is about 9217.6960244955. The cubic root of 84965920 is about 439.6241970253.

The spelling of 84965920 in words is "eighty-four million, nine hundred sixty-five thousand, nine hundred twenty".