84617440 has 48 divisors (see below), whose sum is σ = 204800400. Its totient is φ = 33018880.

The previous prime is 84617363. The next prime is 84617441. The reversal of 84617440 is 4471648.

It is a super-2 number, since 2×84617440² = 14320222304307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84617396 and 84617405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84617441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 13009.

It is an arithmetic number, because the mean of its divisors is an integer number (4266675).

Almost surely, 2^84617440 is an apocalyptic number.

84617440 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 84617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102400200).

84617440 is an abundant number, since it is smaller than the sum of its proper divisors (120182960).

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

84617440 is a wasteful number, since it uses less digits than its factorization.

84617440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12955 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 84617440 is about 9198.7738313321. The cubic root of 84617440 is about 439.0223472313.

The spelling of 84617440 in words is "eighty-four million, six hundred seventeen thousand, four hundred forty".