85749480 has 96 divisors (see below), whose sum is σ = 279943560. Its totient is φ = 22763520.

The previous prime is 85749467. The next prime is 85749493. The reversal of 85749480 is 8494758.

85749480 is a `hidden beast` number, since 85 + 7 + 494 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (85749467) and next prime (85749493).

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 73513476 = 3498^2 + 8574^2 .

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

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, 112300 + ... + 113060.

Almost surely, 2^85749480 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 85749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139971780).

85749480 is an abundant number, since it is smaller than the sum of its proper divisors (194194080).

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

85749480 is a wasteful number, since it uses less digits than its factorization.

85749480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85749480 is about 9260.1015113226. The cubic root of 85749480 is about 440.9714760887.

The spelling of 85749480 in words is "eighty-five million, seven hundred forty-nine thousand, four hundred eighty".