85398480 has 120 divisors (see below), whose sum is σ = 303710472. Its totient is φ = 21430272.

The previous prime is 85398457. The next prime is 85398487. The reversal of 85398480 is 8489358.

85398480 is a `hidden beast` number, since 85 + 3 + 98 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 77580864 = 2796^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85398487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8752 + ... + 15728.

Almost surely, 2^85398480 is an apocalyptic number.

85398480 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 85398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151855236).

85398480 is an abundant number, since it is smaller than the sum of its proper divisors (218311992).

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

85398480 is a wasteful number, since it uses less digits than its factorization.

85398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 85398480 is about 9241.1298010579. The cubic root of 85398480 is about 440.3689742464.

The spelling of 85398480 in words is "eighty-five million, three hundred ninety-eight thousand, four hundred eighty".