85364632 has 48 divisors (see below), whose sum is σ = 170370000. Its totient is φ = 40049856.

The previous prime is 85364627. The next prime is 85364641. The reversal of 85364632 is 23646358.

Its product of digits (103680) is a multiple of the sum of its prime factors (320).

It is a junction number, because it is equal to n+sod(n) for n = 85364591 and 85364600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428869 + ... + 429067.

It is an arithmetic number, because the mean of its divisors is an integer number (3549375).

Almost surely, 2^85364632 is an apocalyptic number.

It is an amenable number.

85364632 is a deficient number, since it is larger than the sum of its proper divisors (85005368).

85364632 is a wasteful number, since it uses less digits than its factorization.

85364632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 273 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 85364632 is about 9239.2982417497. The cubic root of 85364632 is about 440.3107859400.

The spelling of 85364632 in words is "eighty-five million, three hundred sixty-four thousand, six hundred thirty-two".