86006400 has 288 divisors, whose sum is σ = 310634880. Its totient is φ = 20889600.

The previous prime is 86006377. The next prime is 86006411. The reversal of 86006400 is 460068.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2774385 + ... + 2774415.

Almost surely, 2^86006400 is an apocalyptic number.

86006400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155317440).

86006400 is an abundant number, since it is smaller than the sum of its proper divisors (224628480).

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

86006400 is a wasteful number, since it uses less digits than its factorization.

86006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 86006400 is about 9273.9635539504. The cubic root of 86006400 is about 441.4114454423.

Adding to 86006400 its reverse (460068), we get a palindrome (86466468).

The spelling of 86006400 in words is "eighty-six million, six thousand, four hundred".