85872640 has 104 divisors (see below), whose sum is σ = 235900800. Its totient is φ = 29392896.

The previous prime is 85872637. The next prime is 85872649. The reversal of 85872640 is 4627858.

It is a super-2 number, since 2×85872640² = 14748220601139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85872593 and 85872602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85872649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143061 + ... + 143659.

Almost surely, 2^85872640 is an apocalyptic number.

85872640 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 85872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117950400).

85872640 is an abundant number, since it is smaller than the sum of its proper divisors (150028160).

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

85872640 is an equidigital number, since it uses as much as digits as its factorization.

85872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 85872640 is about 9266.7491603043. The cubic root of 85872640 is about 441.1824941470.

The spelling of 85872640 in words is "eighty-five million, eight hundred seventy-two thousand, six hundred forty".