85948780 has 48 divisors (see below), whose sum is σ = 195158880. Its totient is φ = 31684608.

The previous prime is 85948763. The next prime is 85948859. The reversal of 85948780 is 8784958.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11004 + ... + 17116.

It is an arithmetic number, because the mean of its divisors is an integer number (4065810).

Almost surely, 2^85948780 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 85948780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97579440).

85948780 is an abundant number, since it is smaller than the sum of its proper divisors (109210100).

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

85948780 is a wasteful number, since it uses less digits than its factorization.

85948780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 85948780 is about 9270.8564868625. The cubic root of 85948780 is about 441.3128488670.

The spelling of 85948780 in words is "eighty-five million, nine hundred forty-eight thousand, seven hundred eighty".