85874880 has 224 divisors, whose sum is σ = 335913984. Its totient is φ = 18100224.

The previous prime is 85874863. The next prime is 85874897. The reversal of 85874880 is 8847858.

It is an interprime number because it is at equal distance from previous prime (85874863) and next prime (85874897).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86869 + ... + 87851.

It is an arithmetic number, because the mean of its divisors is an integer number (1499616).

Almost surely, 2^85874880 is an apocalyptic number.

85874880 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 85874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167956992).

85874880 is an abundant number, since it is smaller than the sum of its proper divisors (250039104).

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

85874880 is a wasteful number, since it uses less digits than its factorization.

85874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 85874880 is about 9266.8700217495. The cubic root of 85874880 is about 441.1863302163.

The spelling of 85874880 in words is "eighty-five million, eight hundred seventy-four thousand, eight hundred eighty".