85254000 has 160 divisors (see below), whose sum is σ = 296272704. Its totient is φ = 20966400.

The previous prime is 85253989. The next prime is 85254011. The reversal of 85254000 is 45258.

It is an interprime number because it is at equal distance from previous prime (85253989) and next prime (85254011).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 77454 + ... + 78546.

Almost surely, 2^85254000 is an apocalyptic number.

85254000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148136352).

85254000 is an abundant number, since it is smaller than the sum of its proper divisors (211018704).

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

85254000 is a wasteful number, since it uses less digits than its factorization.

85254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 85254000 is about 9233.3092659133. The cubic root of 85254000 is about 440.1204904176.

Adding to 85254000 its reverse (45258), we get a palindrome (85299258).

The spelling of 85254000 in words is "eighty-five million, two hundred fifty-four thousand".