8532986400 has 216 divisors, whose sum is σ = 30144765924. Its totient is φ = 2271283200.

The previous prime is 8532986389. The next prime is 8532986401. The reversal of 8532986400 is 46892358.

It can be written as a sum of positive squares in 6 ways, for example, as 1531313424 + 7001672976 = 39132^2 + 83676^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8532986401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7638642 + ... + 7639758.

Almost surely, 2^8532986400 is an apocalyptic number.

8532986400 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 8532986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072382962).

8532986400 is an abundant number, since it is smaller than the sum of its proper divisors (21611779524).

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

8532986400 is a wasteful number, since it uses less digits than its factorization.

8532986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8532986400 is about 92374.1652195028. The cubic root of 8532986400 is about 2043.4641257694.

The spelling of 8532986400 in words is "eight billion, five hundred thirty-two million, nine hundred eighty-six thousand, four hundred".