84610944 has 144 divisors (see below), whose sum is σ = 268064160. Its totient is φ = 25597440.

The previous prime is 84610937. The next prime is 84610961. The reversal of 84610944 is 44901648.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84610944² = 14318023689142272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84610899 and 84610908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139089 + ... + 139695.

Almost surely, 2^84610944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134032080).

84610944 is an abundant number, since it is smaller than the sum of its proper divisors (183453216).

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

84610944 is a wasteful number, since it uses less digits than its factorization.

84610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

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

The square root of 84610944 is about 9198.4207340173. The cubic root of 84610944 is about 439.0111125018.

The spelling of 84610944 in words is "eighty-four million, six hundred ten thousand, nine hundred forty-four".