84119040 has 160 divisors (see below), whose sum is σ = 299043360. Its totient is φ = 22413312.

The previous prime is 84119033. The next prime is 84119041. The reversal of 84119040 is 4091148.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 84118995 and 84119013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84119041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68512 + ... + 69728.

It is an arithmetic number, because the mean of its divisors is an integer number (1869021).

Almost surely, 2^84119040 is an apocalyptic number.

84119040 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 84119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149521680).

84119040 is an abundant number, since it is smaller than the sum of its proper divisors (214924320).

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

84119040 is a wasteful number, since it uses less digits than its factorization.

84119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 84119040 is about 9171.6432551643. The cubic root of 84119040 is about 438.1586964816.

It can be divided in two parts, 841 and 19040, that added together give a square (19881 = 141²).

The spelling of 84119040 in words is "eighty-four million, one hundred nineteen thousand, forty".