8970920 has 96 divisors (see below), whose sum is σ = 24624000. Its totient is φ = 2927232.

The previous prime is 8970919. The next prime is 8970953. The reversal of 8970920 is 290798.

8970920 = T₈₅ + T₈₆ + ... + T₃₇₈.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44981 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (256500).

Almost surely, 2^8970920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8970920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312000).

8970920 is an abundant number, since it is smaller than the sum of its proper divisors (15653080).

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

8970920 is a wasteful number, since it uses less digits than its factorization.

8970920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 8970920 is about 2995.1494119660. The cubic root of 8970920 is about 207.7841078478.

The spelling of 8970920 in words is "eight million, nine hundred seventy thousand, nine hundred twenty".