84625632 has 144 divisors (see below), whose sum is σ = 296281440. Its totient is φ = 22311936.

The previous prime is 84625627. The next prime is 84625637. The reversal of 84625632 is 23652648.

It is an interprime number because it is at equal distance from previous prime (84625627) and next prime (84625637).

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

It is a super-2 number, since 2×84625632² = 14322995182798848, 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 not an unprimeable number, because it can be changed into a prime (84625637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24594 + ... + 27822.

It is an arithmetic number, because the mean of its divisors is an integer number (2057510).

Almost surely, 2^84625632 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 84625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140720).

84625632 is an abundant number, since it is smaller than the sum of its proper divisors (211655808).

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

84625632 is a wasteful number, since it uses less digits than its factorization.

84625632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3254 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 84625632 is about 9199.2190972930. The cubic root of 84625632 is about 439.0365143463.

The spelling of 84625632 in words is "eighty-four million, six hundred twenty-five thousand, six hundred thirty-two".