85646460 has 48 divisors (see below), whose sum is σ = 240500736. Its totient is φ = 22773312.

The previous prime is 85646443. The next prime is 85646467. The reversal of 85646460 is 6464658.

85646460 = T₃₅ + T₃₆ + ... + T₈₀₀.

It is a super-2 number, since 2×85646460² = 14670632221063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85646467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21117 + ... + 24843.

It is an arithmetic number, because the mean of its divisors is an integer number (5010432).

Almost surely, 2^85646460 is an apocalyptic number.

It is an amenable number.

85646460 is an abundant number, since it is smaller than the sum of its proper divisors (154854276).

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

85646460 is a wasteful number, since it uses less digits than its factorization.

85646460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 85646460 is about 9254.5372655795. The cubic root of 85646460 is about 440.7948099582.

The spelling of 85646460 in words is "eighty-five million, six hundred forty-six thousand, four hundred sixty".