85387700 has 36 divisors (see below), whose sum is σ = 186654720. Its totient is φ = 33903840.

The previous prime is 85387699. The next prime is 85387711. The reversal of 85387700 is 778358.

It is a super-2 number, since 2×85387700² = 14582118622580000, which contains 22 as substring.

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, 10829 + ... + 16971.

Almost surely, 2^85387700 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 85387700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

85387700 is an abundant number, since it is smaller than the sum of its proper divisors (101267020).

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

85387700 is a wasteful number, since it uses less digits than its factorization.

85387700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 85387700 is about 9240.5465206339. The cubic root of 85387700 is about 440.3504439506.

The spelling of 85387700 in words is "eighty-five million, three hundred eighty-seven thousand, seven hundred".