84498960 has 320 divisors, whose sum is σ = 332978688. Its totient is φ = 17252352.

The previous prime is 84498929. The next prime is 84498961. The reversal of 84498960 is 6989448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84498961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157484 + ... + 1157556.

Almost surely, 2^84498960 is an apocalyptic number.

84498960 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 84498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166489344).

84498960 is an abundant number, since it is smaller than the sum of its proper divisors (248479728).

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

84498960 is a wasteful number, since it uses less digits than its factorization.

84498960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 84498960 is about 9192.3315867086. The cubic root of 84498960 is about 438.8173474754.

It can be divided in two parts, 84498 and 960, that added together give a palindrome (85458).

The spelling of 84498960 in words is "eighty-four million, four hundred ninety-eight thousand, nine hundred sixty".