8611097040 has 800 divisors, whose sum is σ = 39020002560. Its totient is φ = 1707982848.

The previous prime is 8611097021. The next prime is 8611097071. The reversal of 8611097040 is 407901168.

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 = 8611096986 and 8611097004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10024131 + ... + 10024989.

Almost surely, 2^8611097040 is an apocalyptic number.

8611097040 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 8611097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510001280).

8611097040 is an abundant number, since it is smaller than the sum of its proper divisors (30408905520).

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

8611097040 is a wasteful number, since it uses less digits than its factorization.

8611097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8611097040 is about 92795.9968964179. The cubic root of 8611097040 is about 2049.6804610022.

It can be divided in two parts, 861 and 1097040, that added together give a palindrome (1097901).

The spelling of 8611097040 in words is "eight billion, six hundred eleven million, ninety-seven thousand, forty".