1086485400 has 960 divisors, whose sum is σ = 5142170880. Its totient is φ = 205286400.

The previous prime is 1086485371. The next prime is 1086485401. The reversal of 1086485400 is 45846801.

1086485400 is a `hidden beast` number, since 1 + 0 + 8 + 648 + 5 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086485401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16216167 + ... + 16216233.

It is an arithmetic number, because the mean of its divisors is an integer number (5356428).

Almost surely, 2^1086485400 is an apocalyptic number.

1086485400 is a gapful number since it is divisible by the number (10) 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 1086485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571085440).

1086485400 is an abundant number, since it is smaller than the sum of its proper divisors (4055685480).

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

1086485400 is a wasteful number, since it uses less digits than its factorization.

1086485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1086485400 is about 32961.8779804792. The cubic root of 1086485400 is about 1028.0351519923.

The spelling of 1086485400 in words is "one billion, eighty-six million, four hundred eighty-five thousand, four hundred".