85837500 has 216 divisors, whose sum is σ = 312792480. Its totient is φ = 19440000.

The previous prime is 85837489. The next prime is 85837511. The reversal of 85837500 is 573858.

It is a happy number.

85837500 is a `hidden beast` number, since 8 + 583 + 75 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85837489) and next prime (85837511).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 787446 + ... + 787554.

Almost surely, 2^85837500 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 85837500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

85837500 is an abundant number, since it is smaller than the sum of its proper divisors (226954980).

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

85837500 is a wasteful number, since it uses less digits than its factorization.

85837500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85837500 is about 9264.8529400094. The cubic root of 85837500 is about 441.1223070761.

The spelling of 85837500 in words is "eighty-five million, eight hundred thirty-seven thousand, five hundred".