84414960 has 200 divisors, whose sum is σ = 335249376. Its totient is φ = 19284480.

The previous prime is 84414947. The next prime is 84414971. The reversal of 84414960 is 6941448.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44430 + ... + 46290.

Almost surely, 2^84414960 is an apocalyptic number.

84414960 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 84414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167624688).

84414960 is an abundant number, since it is smaller than the sum of its proper divisors (250834416).

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

84414960 is a wasteful number, since it uses less digits than its factorization.

84414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84414960 is about 9187.7614248521. The cubic root of 84414960 is about 438.6718905440.

The spelling of 84414960 in words is "eighty-four million, four hundred fourteen thousand, nine hundred sixty".