84195920 has 40 divisors (see below), whose sum is σ = 197320704. Its totient is φ = 33409152.

The previous prime is 84195899. The next prime is 84195929. The reversal of 84195920 is 2959148.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84195929) 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, 6017 + ... + 14303.

Almost surely, 2^84195920 is an apocalyptic number.

84195920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98660352).

84195920 is an abundant number, since it is smaller than the sum of its proper divisors (113124784).

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

84195920 is a wasteful number, since it uses less digits than its factorization.

84195920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 84195920 is about 9175.8334771289. The cubic root of 84195920 is about 438.2921398477.

The spelling of 84195920 in words is "eighty-four million, one hundred ninety-five thousand, nine hundred twenty".