8970240 has 112 divisors (see below), whose sum is σ = 29096208. Its totient is φ = 2359296.

The previous prime is 8970229. The next prime is 8970263. The reversal of 8970240 is 420798.

8970240 = T₂₇₅ + T₂₇₆ + ... + T₄₂₀.

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 = 8970198 and 8970207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122844 + ... + 122916.

Almost surely, 2^8970240 is an apocalyptic number.

8970240 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 8970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548104).

8970240 is an abundant number, since it is smaller than the sum of its proper divisors (20125968).

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

8970240 is an equidigital number, since it uses as much as digits as its factorization.

8970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

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

The square root of 8970240 is about 2995.0358929402. The cubic root of 8970240 is about 207.7788576704.

The spelling of 8970240 in words is "eight million, nine hundred seventy thousand, two hundred forty".