1162085400 has 384 divisors, whose sum is σ = 4649702400. Its totient is φ = 261273600.

The previous prime is 1162085389. The next prime is 1162085401. The reversal of 1162085400 is 45802611.

1162085400 is a `hidden beast` number, since 116 + 2 + 0 + 8 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162085401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2683584 + ... + 2684016.

It is an arithmetic number, because the mean of its divisors is an integer number (12108600).

Almost surely, 2^1162085400 is an apocalyptic number.

1162085400 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 1162085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324851200).

1162085400 is an abundant number, since it is smaller than the sum of its proper divisors (3487617000).

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

1162085400 is a wasteful number, since it uses less digits than its factorization.

1162085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1162085400 is about 34089.3737108795. The cubic root of 1162085400 is about 1051.3468430839.

It can be divided in two parts, 11620 and 85400, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 1162085400 in words is "one billion, one hundred sixty-two million, eighty-five thousand, four hundred".