85734760 has 16 divisors (see below), whose sum is σ = 192903300. Its totient is φ = 34293888.

The previous prime is 85734697. The next prime is 85734763. The reversal of 85734760 is 6743758.

It can be written as a sum of positive squares in 2 ways, for example, as 84309124 + 1425636 = 9182^2 + 1194^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2143369 = 85734760 / (8 + 5 + 7 + 3 + 4 + 7 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (85734763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1071645 + ... + 1071724.

Almost surely, 2^85734760 is an apocalyptic number.

It is an amenable number.

85734760 is an abundant number, since it is smaller than the sum of its proper divisors (107168540).

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

85734760 is a wasteful number, since it uses less digits than its factorization.

85734760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143380 (or 2143376 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 85734760 is about 9259.3066695083. The cubic root of 85734760 is about 440.9462418381.

The spelling of 85734760 in words is "eighty-five million, seven hundred thirty-four thousand, seven hundred sixty".