84458880 has 384 divisors, whose sum is σ = 336061440. Its totient is φ = 19353600.

The previous prime is 84458851. The next prime is 84458897. The reversal of 84458880 is 8885448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964139 + ... + 1964181.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 2^84458880 is an apocalyptic number.

84458880 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 84458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

84458880 is an abundant number, since it is smaller than the sum of its proper divisors (251602560).

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

84458880 is a wasteful number, since it uses less digits than its factorization.

84458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 84458880 is about 9190.1512501155. The cubic root of 84458880 is about 438.7479557701.

The spelling of 84458880 in words is "eighty-four million, four hundred fifty-eight thousand, eight hundred eighty".