85884264 has 24 divisors (see below), whose sum is σ = 232603410. Its totient is φ = 28628064.

The previous prime is 85884257. The next prime is 85884269. The reversal of 85884264 is 46248858.

85884264 is a `hidden beast` number, since 8 + 588 + 4 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59444100 + 26440164 = 7710^2 + 5142^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×85884264² = 14752213605643392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85884269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 596347 + ... + 596490.

Almost surely, 2^85884264 is an apocalyptic number.

It is an amenable number.

85884264 is an abundant number, since it is smaller than the sum of its proper divisors (146719146).

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

85884264 is a wasteful number, since it uses less digits than its factorization.

85884264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192849 (or 1192842 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 85884264 is about 9267.3763277424. The cubic root of 85884264 is about 441.2023998815.

The spelling of 85884264 in words is "eighty-five million, eight hundred eighty-four thousand, two hundred sixty-four".