85371120 has 60 divisors (see below), whose sum is σ = 286707096. Its totient is φ = 22765440.

The previous prime is 85371109. The next prime is 85371131. The reversal of 85371120 is 2117358.

85371120 is a `hidden beast` number, since 8 + 537 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (85371109) and next prime (85371131).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58566 + ... + 60005.

Almost surely, 2^85371120 is an apocalyptic number.

85371120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85371120 is an abundant number, since it is smaller than the sum of its proper divisors (201335976).

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

85371120 is a wasteful number, since it uses less digits than its factorization.

85371120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118590 (or 118581 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85371120 is about 9239.6493439957. The cubic root of 85371120 is about 440.3219406924.

Adding to 85371120 its reverse (2117358), we get a palindrome (87488478).

It can be divided in two parts, 85371 and 120, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85371120 in words is "eighty-five million, three hundred seventy-one thousand, one hundred twenty".