84623616 has 360 divisors, whose sum is σ = 320531904. Its totient is φ = 21565440.

The previous prime is 84623611. The next prime is 84623633. The reversal of 84623616 is 61632648.

It is a super-2 number, since 2×84623616² = 14322312769830912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84623611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596646 + ... + 1596698.

Almost surely, 2^84623616 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 84623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265952).

84623616 is an abundant number, since it is smaller than the sum of its proper divisors (235908288).

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

84623616 is a wasteful number, since it uses less digits than its factorization.

84623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 84623616 is about 9199.1095221222. The cubic root of 84623616 is about 439.0330279927.

The spelling of 84623616 in words is "eighty-four million, six hundred twenty-three thousand, six hundred sixteen".