85401690 has 64 divisors (see below), whose sum is σ = 225348480. Its totient is φ = 20541440.

The previous prime is 85401689. The next prime is 85401697. The reversal of 85401690 is 9610458.

It is a super-2 number, since 2×85401690² = 14586897309712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85401697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44266 + ... + 46154.

It is an arithmetic number, because the mean of its divisors is an integer number (3521070).

Almost surely, 2^85401690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85401690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112674240).

85401690 is an abundant number, since it is smaller than the sum of its proper divisors (139946790).

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

85401690 is a wasteful number, since it uses less digits than its factorization.

85401690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85401690 is about 9241.3034794882. The cubic root of 85401690 is about 440.3744917791.

The spelling of 85401690 in words is "eighty-five million, four hundred one thousand, six hundred ninety".