85944960 has 192 divisors, whose sum is σ = 304555680. Its totient is φ = 22321152.

The previous prime is 85944953. The next prime is 85944967. The reversal of 85944960 is 6944958.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85944953) and next prime (85944967).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×85944960² = 14773072298803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85944967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247507 + ... + 247853.

Almost surely, 2^85944960 is an apocalyptic number.

85944960 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 85944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152277840).

85944960 is an abundant number, since it is smaller than the sum of its proper divisors (218610720).

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

85944960 is a wasteful number, since it uses less digits than its factorization.

85944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85944960 is about 9270.6504626159. The cubic root of 85944960 is about 441.3063107092.

The spelling of 85944960 in words is "eighty-five million, nine hundred forty-four thousand, nine hundred sixty".