8970480 has 80 divisors (see below), whose sum is σ = 30905760. Its totient is φ = 2391552.

The previous prime is 8970473. The next prime is 8970491. The reversal of 8970480 is 840798.

8970480 = T₄₃₃ + T₄₃₄ + ... + T₅₁₂.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8970480² = 160939022860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 4236.

It is an arithmetic number, because the mean of its divisors is an integer number (386322).

Almost surely, 2^8970480 is an apocalyptic number.

8970480 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 8970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452880).

8970480 is an abundant number, since it is smaller than the sum of its proper divisors (21935280).

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

8970480 is a wasteful number, since it uses less digits than its factorization.

8970480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8970480 is about 2995.0759589700. The cubic root of 8970480 is about 207.7807107045.

The spelling of 8970480 in words is "eight million, nine hundred seventy thousand, four hundred eighty".