85949280 has 144 divisors (see below), whose sum is σ = 310643424. Its totient is φ = 21565440.

The previous prime is 85949249. The next prime is 85949291. The reversal of 85949280 is 8294958.

85949280 is a `hidden beast` number, since 85 + 9 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22725 + ... + 26235.

It is an arithmetic number, because the mean of its divisors is an integer number (2157246).

Almost surely, 2^85949280 is an apocalyptic number.

85949280 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 85949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155321712).

85949280 is an abundant number, since it is smaller than the sum of its proper divisors (224694144).

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

85949280 is a wasteful number, since it uses less digits than its factorization.

85949280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 85949280 is about 9270.8834530480. The cubic root of 85949280 is about 441.3137046325.

The spelling of 85949280 in words is "eighty-five million, nine hundred forty-nine thousand, two hundred eighty".