84005376 has 160 divisors (see below), whose sum is σ = 275899008. Its totient is φ = 22118400.

The previous prime is 84005353. The next prime is 84005387. The reversal of 84005376 is 67350048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139476 + ... + 140076.

Almost surely, 2^84005376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137949504).

84005376 is an abundant number, since it is smaller than the sum of its proper divisors (191893632).

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

84005376 is a wasteful number, since it uses less digits than its factorization.

84005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 84005376 is about 9165.4446700637. Note that the first 3 decimals coincide. The cubic root of 84005376 is about 437.9612567636.

It can be divided in two parts, 8400 and 5376, that multiplied together give a square (45158400 = 6720²).

The spelling of 84005376 in words is "eighty-four million, five thousand, three hundred seventy-six".