85137360 has 320 divisors, whose sum is σ = 349691904. Its totient is φ = 16588800.

The previous prime is 85137341. The next prime is 85137373. The reversal of 85137360 is 6373158.

It is a happy number.

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

It is a congruent number.

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, 314025 + ... + 314295.

Almost surely, 2^85137360 is an apocalyptic number.

85137360 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 85137360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

85137360 is an abundant number, since it is smaller than the sum of its proper divisors (264554544).

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

85137360 is a wasteful number, since it uses less digits than its factorization.

85137360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 85137360 is about 9226.9908420893. The cubic root of 85137360 is about 439.9196823094.

The spelling of 85137360 in words is "eighty-five million, one hundred thirty-seven thousand, three hundred sixty".