8970973440 has 864 divisors, whose sum is σ = 36826731648. Its totient is φ = 1828454400.

The previous prime is 8970973421. The next prime is 8970973447. The reversal of 8970973440 is 443790798.

It is a happy number.

It is a super-2 number, since 2×8970973440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8970973447) 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, 289386225 + ... + 289386255.

It is an arithmetic number, because the mean of its divisors is an integer number (42623532).

Almost surely, 2^8970973440 is an apocalyptic number.

8970973440 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 8970973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413365824).

8970973440 is an abundant number, since it is smaller than the sum of its proper divisors (27855758208).

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

8970973440 is a wasteful number, since it uses less digits than its factorization.

8970973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 8970973440 is about 94715.2228525067. Note that the first 3 decimals coincide. The cubic root of 8970973440 is about 2077.8452043875.

The spelling of 8970973440 in words is "eight billion, nine hundred seventy million, nine hundred seventy-three thousand, four hundred forty".