8970393600 has 864 divisors, whose sum is σ = 38445039360. Its totient is φ = 2030469120.

The previous prime is 8970393589. The next prime is 8970393611. The reversal of 8970393600 is 63930798.

It is a happy number.

8970393600 is a `hidden beast` number, since 8 + 9 + 7 + 0 + 39 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (8970393589) and next prime (8970393611).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×8970393600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87091149 + ... + 87091251.

Almost surely, 2^8970393600 is an apocalyptic number.

8970393600 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 8970393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222519680).

8970393600 is an abundant number, since it is smaller than the sum of its proper divisors (29474645760).

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

8970393600 is a wasteful number, since it uses less digits than its factorization.

8970393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 8970393600 is about 94712.1618378548. The cubic root of 8970393600 is about 2077.8004361606.

The spelling of 8970393600 in words is "eight billion, nine hundred seventy million, three hundred ninety-three thousand, six hundred".