8603461440 has 448 divisors, whose sum is σ = 36517478400. Its totient is φ = 1862756352.

The previous prime is 8603461387. The next prime is 8603461453. The reversal of 8603461440 is 441643068.

8603461440 is a `hidden beast` number, since 8 + 6 + 0 + 34 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 8603461395 and 8603461404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145377 + ... + 1152863.

Almost surely, 2^8603461440 is an apocalyptic number.

8603461440 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 8603461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258739200).

8603461440 is an abundant number, since it is smaller than the sum of its proper divisors (27914016960).

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

8603461440 is a wasteful number, since it uses less digits than its factorization.

8603461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8603461440 is about 92754.8459111436. The cubic root of 8603461440 is about 2049.0744534983.

The spelling of 8603461440 in words is "eight billion, six hundred three million, four hundred sixty-one thousand, four hundred forty".