8613071040 has 336 divisors, whose sum is σ = 31972983552. Its totient is φ = 1958713344.

The previous prime is 8613071017. The next prime is 8613071041. The reversal of 8613071040 is 401703168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8613070989 and 8613071007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8613071041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13311997 + ... + 13312643.

Almost surely, 2^8613071040 is an apocalyptic number.

8613071040 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 8613071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986491776).

8613071040 is an abundant number, since it is smaller than the sum of its proper divisors (23359912512).

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

8613071040 is a wasteful number, since it uses less digits than its factorization.

8613071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8613071040 is about 92806.6325216038. The cubic root of 8613071040 is about 2049.8370713264.

The spelling of 8613071040 in words is "eight billion, six hundred thirteen million, seventy-one thousand, forty".