84802432 has 128 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 34406400.

The previous prime is 84802423. The next prime is 84802441. The reversal of 84802432 is 23420848.

It is an interprime number because it is at equal distance from previous prime (84802423) and next prime (84802441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×84802432² = 14382904946229248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84802394 and 84802403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750408 + ... + 750520.

Almost surely, 2^84802432 is an apocalyptic number.

84802432 is a gapful number since it is divisible by the number (82) 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 84802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

84802432 is an abundant number, since it is smaller than the sum of its proper divisors (120315488).

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

84802432 is a wasteful number, since it uses less digits than its factorization.

84802432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 84802432 is about 9208.8235947921. The cubic root of 84802432 is about 439.3420469247.

The spelling of 84802432 in words is "eighty-four million, eight hundred two thousand, four hundred thirty-two".