85953820 has 24 divisors (see below), whose sum is σ = 181456128. Its totient is φ = 34200000.

The previous prime is 85953811. The next prime is 85953851. The reversal of 85953820 is 2835958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7431 + ... + 15070.

It is an arithmetic number, because the mean of its divisors is an integer number (7560672).

Almost surely, 2^85953820 is an apocalyptic number.

It is an amenable number.

85953820 is an abundant number, since it is smaller than the sum of its proper divisors (95502308).

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

85953820 is a wasteful number, since it uses less digits than its factorization.

85953820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22701 (or 22699 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 85953820 is about 9271.1283024236. The cubic root of 85953820 is about 441.3214748312.

It can be divided in two parts, 8595 and 3820, that multiplied together give a square (32832900 = 5730²).

The spelling of 85953820 in words is "eighty-five million, nine hundred fifty-three thousand, eight hundred twenty".