85757430 has 64 divisors (see below), whose sum is σ = 226146816. Its totient is φ = 20640000.

The previous prime is 85757429. The next prime is 85757443. The reversal of 85757430 is 3475758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48970 + ... + 50690.

It is an arithmetic number, because the mean of its divisors is an integer number (3533544).

Almost surely, 2^85757430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85757430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113073408).

85757430 is an abundant number, since it is smaller than the sum of its proper divisors (140389386).

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

85757430 is a wasteful number, since it uses less digits than its factorization.

85757430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 85757430 is about 9260.5307623267. The cubic root of 85757430 is about 440.9851034401.

The spelling of 85757430 in words is "eighty-five million, seven hundred fifty-seven thousand, four hundred thirty".