84457320 has 128 divisors (see below), whose sum is σ = 262656000. Its totient is φ = 21715200.

The previous prime is 84457313. The next prime is 84457327. The reversal of 84457320 is 2375448.

It is an interprime number because it is at equal distance from previous prime (84457313) and next prime (84457327).

It is not an unprimeable number, because it can be changed into a prime (84457327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559245 + ... + 559395.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 2^84457320 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 84457320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

84457320 is an abundant number, since it is smaller than the sum of its proper divisors (178198680).

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

84457320 is a wasteful number, since it uses less digits than its factorization.

84457320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 84457320 is about 9190.0663762565. The cubic root of 84457320 is about 438.7452544515.

The spelling of 84457320 in words is "eighty-four million, four hundred fifty-seven thousand, three hundred twenty".