84809952 has 36 divisors (see below), whose sum is σ = 241179120. Its totient is φ = 28269888.

The previous prime is 84809951. The next prime is 84809953. The reversal of 84809952 is 25990848.

It is an interprime number because it is at equal distance from previous prime (84809951) and next prime (84809953).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 84809898 and 84809907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84809951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146952 + ... + 147527.

It is an arithmetic number, because the mean of its divisors is an integer number (6699420).

Almost surely, 2^84809952 is an apocalyptic number.

It is an amenable number.

84809952 is an abundant number, since it is smaller than the sum of its proper divisors (156369168).

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

84809952 is a wasteful number, since it uses less digits than its factorization.

84809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294495 (or 294484 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 84809952 is about 9209.2318897941. The cubic root of 84809952 is about 439.3550330088.

The spelling of 84809952 in words is "eighty-four million, eight hundred nine thousand, nine hundred fifty-two".