85993380 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 20131200.

The previous prime is 85993363. The next prime is 85993399. The reversal of 85993380 is 8339958.

It is a super-2 number, since 2×85993380² = 14789722807648800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183907 + ... + 184373.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^85993380 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 85993380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

85993380 is an abundant number, since it is smaller than the sum of its proper divisors (215922780).

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

85993380 is a wasteful number, since it uses less digits than its factorization.

85993380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 85993380 is about 9273.2615621474. The cubic root of 85993380 is about 441.3891700959.

The spelling of 85993380 in words is "eighty-five million, nine hundred ninety-three thousand, three hundred eighty".