84649344 has 128 divisors (see below), whose sum is σ = 250414080. Its totient is φ = 25159680.

The previous prime is 84649343. The next prime is 84649381. The reversal of 84649344 is 44394648.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×84649344² = 14331022879260672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84649296 and 84649305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84649343) 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, 154479 + ... + 155025.

It is an arithmetic number, because the mean of its divisors is an integer number (1956360).

Almost surely, 2^84649344 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 84649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125207040).

84649344 is an abundant number, since it is smaller than the sum of its proper divisors (165764736).

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

84649344 is a wasteful number, since it uses less digits than its factorization.

84649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 84649344 is about 9200.5078120721. The cubic root of 84649344 is about 439.0775163509.

The spelling of 84649344 in words is "eighty-four million, six hundred forty-nine thousand, three hundred forty-four".