84335920 has 20 divisors (see below), whose sum is σ = 196081200. Its totient is φ = 33734336.

The previous prime is 84335899. The next prime is 84335939. The reversal of 84335920 is 2953348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×84335920² = 14225094804492800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527020 + ... + 527179.

It is an arithmetic number, because the mean of its divisors is an integer number (9804060).

Almost surely, 2^84335920 is an apocalyptic number.

84335920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84335920 is an abundant number, since it is smaller than the sum of its proper divisors (111745280).

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

84335920 is a wasteful number, since it uses less digits than its factorization.

84335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054212 (or 1054206 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 84335920 is about 9183.4590433017. The cubic root of 84335920 is about 438.5349343556.

It can be divided in two parts, 843 and 35920, that added together give a palindrome (36763).

The spelling of 84335920 in words is "eighty-four million, three hundred thirty-five thousand, nine hundred twenty".