84667632 has 80 divisors (see below), whose sum is σ = 253769472. Its totient is φ = 23823360.

The previous prime is 84667631. The next prime is 84667673. The reversal of 84667632 is 23676648.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84667631) 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, 20632 + ... + 24392.

Almost surely, 2^84667632 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 84667632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884736).

84667632 is an abundant number, since it is smaller than the sum of its proper divisors (169101840).

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

84667632 is a wasteful number, since it uses less digits than its factorization.

84667632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3840 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 84667632 is about 9201.5016165841. The cubic root of 84667632 is about 439.1091341246.

The spelling of 84667632 in words is "eighty-four million, six hundred sixty-seven thousand, six hundred thirty-two".