85520448 has 224 divisors, whose sum is σ = 279928320. Its totient is φ = 25754112.

The previous prime is 85520447. The next prime is 85520467. The reversal of 85520448 is 84402558.

It is a super-2 number, since 2×85520448² = 14627494052241408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85520443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819561 + ... + 1819607.

It is an arithmetic number, because the mean of its divisors is an integer number (1249680).

Almost surely, 2^85520448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139964160).

85520448 is an abundant number, since it is smaller than the sum of its proper divisors (194407872).

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

85520448 is an equidigital number, since it uses as much as digits as its factorization.

85520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85520448 is about 9247.7266395585. The cubic root of 85520448 is about 440.5785227573.

The spelling of 85520448 in words is "eighty-five million, five hundred twenty thousand, four hundred forty-eight".