85429890 has 320 divisors, whose sum is σ = 302480640. Its totient is φ = 16796160.

The previous prime is 85429873. The next prime is 85429919. The reversal of 85429890 is 9892458.

It is a super-2 number, since 2×85429890² = 14596532210824200, 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 159 ways as a sum of consecutive naturals, for example, 1400460 + ... + 1400520.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^85429890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85429890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

85429890 is an abundant number, since it is smaller than the sum of its proper divisors (217050750).

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

85429890 is a wasteful number, since it uses less digits than its factorization.

85429890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 85429890 is about 9242.8291123443. The cubic root of 85429890 is about 440.4229576195.

The spelling of 85429890 in words is "eighty-five million, four hundred twenty-nine thousand, eight hundred ninety".