85387140 has 72 divisors (see below), whose sum is σ = 272650560. Its totient is φ = 21570624.

The previous prime is 85387097. The next prime is 85387147. The reversal of 85387140 is 4178358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85387095 and 85387104.

It is not an unprimeable number, because it can be changed into a prime (85387147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9064 + ... + 15903.

Almost surely, 2^85387140 is an apocalyptic number.

It is an amenable number.

85387140 is an abundant number, since it is smaller than the sum of its proper divisors (187263420).

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

85387140 is a wasteful number, since it uses less digits than its factorization.

85387140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85387140 is about 9240.5162193462. The cubic root of 85387140 is about 440.3494812952.

The spelling of 85387140 in words is "eighty-five million, three hundred eighty-seven thousand, one hundred forty".