84508632 has 192 divisors, whose sum is σ = 268894080. Its totient is φ = 23740416.

The previous prime is 84508621. The next prime is 84508643. The reversal of 84508632 is 23680548.

It is an interprime number because it is at equal distance from previous prime (84508621) and next prime (84508643).

It is a super-2 number, since 2×84508632² = 14283417765022848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747808 + ... + 747920.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^84508632 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 84508632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

84508632 is an abundant number, since it is smaller than the sum of its proper divisors (184385448).

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

84508632 is a wasteful number, since it uses less digits than its factorization.

84508632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84508632 is about 9192.8576623376. The cubic root of 84508632 is about 438.8340896122.

The spelling of 84508632 in words is "eighty-four million, five hundred eight thousand, six hundred thirty-two".