84407040 has 216 divisors, whose sum is σ = 309935808. Its totient is φ = 21135360.

The previous prime is 84407039. The next prime is 84407041. The reversal of 84407040 is 4070448.

It is an interprime number because it is at equal distance from previous prime (84407039) and next prime (84407041).

It is a junction number, because it is equal to n+sod(n) for n = 84406995 and 84407013.

It is not an unprimeable number, because it can be changed into a prime (84407041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195625 + ... + 196055.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888).

Almost surely, 2^84407040 is an apocalyptic number.

84407040 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 84407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904).

84407040 is an abundant number, since it is smaller than the sum of its proper divisors (225528768).

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

84407040 is a wasteful number, since it uses less digits than its factorization.

84407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 84407040 is about 9187.3304065980. The cubic root of 84407040 is about 438.6581710563.

Adding to 84407040 its reverse (4070448), we get a palindrome (88477488).

The spelling of 84407040 in words is "eighty-four million, four hundred seven thousand, forty".