84073440 has 96 divisors (see below), whose sum is σ = 288925056. Its totient is φ = 20380160.

The previous prime is 84073427. The next prime is 84073481. The reversal of 84073440 is 4437048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 84073398 and 84073407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682 + ... + 13241.

It is an arithmetic number, because the mean of its divisors is an integer number (3009636).

Almost surely, 2^84073440 is an apocalyptic number.

84073440 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 84073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144462528).

84073440 is an abundant number, since it is smaller than the sum of its proper divisors (204851616).

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

84073440 is a wasteful number, since it uses less digits than its factorization.

84073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15952 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 84073440 is about 9169.1569950569. The cubic root of 84073440 is about 438.0795085120.

The spelling of 84073440 in words is "eighty-four million, seventy-three thousand, four hundred forty".