85667400 has 288 divisors, whose sum is σ = 354768960. Its totient is φ = 18040320.

The previous prime is 85667383. The next prime is 85667411. The reversal of 85667400 is 476658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163539 + ... + 164061.

Almost surely, 2^85667400 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 85667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177384480).

85667400 is an abundant number, since it is smaller than the sum of its proper divisors (269101560).

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

85667400 is a wasteful number, since it uses less digits than its factorization.

85667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85667400 is about 9255.6685333908. The cubic root of 85667400 is about 440.8307308481.

The spelling of 85667400 in words is "eighty-five million, six hundred sixty-seven thousand, four hundred".