85154160 has 240 divisors, whose sum is σ = 331291296. Its totient is φ = 17934336.

The previous prime is 85154159. The next prime is 85154161. The reversal of 85154160 is 6145158.

It is an interprime number because it is at equal distance from previous prime (85154159) and next prime (85154161).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85154161) 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, 152602 + ... + 153158.

Almost surely, 2^85154160 is an apocalyptic number.

85154160 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 85154160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645648).

85154160 is an abundant number, since it is smaller than the sum of its proper divisors (246137136).

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

85154160 is a wasteful number, since it uses less digits than its factorization.

85154160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 85154160 is about 9227.9011698219. The cubic root of 85154160 is about 439.9486165892.

The spelling of 85154160 in words is "eighty-five million, one hundred fifty-four thousand, one hundred sixty".