84602880 has 312 divisors, whose sum is σ = 322004592. Its totient is φ = 21233664.

The previous prime is 84602827. The next prime is 84602891. The reversal of 84602880 is 8820648.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976632 + ... + 4976648.

It is an arithmetic number, because the mean of its divisors is an integer number (1032066).

Almost surely, 2^84602880 is an apocalyptic number.

84602880 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 84602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161002296).

84602880 is an abundant number, since it is smaller than the sum of its proper divisors (237401712).

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

84602880 is an equidigital number, since it uses as much as digits as its factorization.

84602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84602880 is about 9197.9823874587. The cubic root of 84602880 is about 438.9971651410.

The spelling of 84602880 in words is "eighty-four million, six hundred two thousand, eight hundred eighty".