86419800 has 144 divisors (see below), whose sum is σ = 297559080. Its totient is φ = 22464000.

The previous prime is 86419799. The next prime is 86419811. The reversal of 86419800 is 891468.

It is a happy number.

86419800 is a `hidden beast` number, since 8 + 641 + 9 + 8 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 73215 + ... + 74385.

Almost surely, 2^86419800 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 86419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148779540).

86419800 is an abundant number, since it is smaller than the sum of its proper divisors (211139280).

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

86419800 is a wasteful number, since it uses less digits than its factorization.

86419800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86419800 is about 9296.2250403053. The cubic root of 86419800 is about 442.1175475462.

The spelling of 86419800 in words is "eighty-six million, four hundred nineteen thousand, eight hundred".