85001364 has 144 divisors (see below), whose sum is σ = 265399680. Its totient is φ = 22394880.

The previous prime is 85001339. The next prime is 85001369. The reversal of 85001364 is 46310058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85001369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196092 + ... + 196524.

Almost surely, 2^85001364 is an apocalyptic number.

85001364 is a gapful number since it is divisible by the number (84) 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 85001364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

85001364 is an abundant number, since it is smaller than the sum of its proper divisors (180398316).

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

85001364 is a wasteful number, since it uses less digits than its factorization.

85001364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85001364 is about 9219.6184302822. The cubic root of 85001364 is about 439.6853190761.

The spelling of 85001364 in words is "eighty-five million, one thousand, three hundred sixty-four".