85621632 has 64 divisors (see below), whose sum is σ = 228508560. Its totient is φ = 28405760.

The previous prime is 85621631. The next prime is 85621633. The reversal of 85621632 is 23612658.

It is an interprime number because it is at equal distance from previous prime (85621631) and next prime (85621633).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85621593 and 85621602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85621631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112132 + ... + 112892.

Almost surely, 2^85621632 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 85621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114254280).

85621632 is an abundant number, since it is smaller than the sum of its proper divisors (142886928).

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

85621632 is a wasteful number, since it uses less digits than its factorization.

85621632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 85621632 is about 9253.1957722724. The cubic root of 85621632 is about 440.7522119289.

The spelling of 85621632 in words is "eighty-five million, six hundred twenty-one thousand, six hundred thirty-two".