8920464 has 80 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 2517120.

The previous prime is 8920463. The next prime is 8920489. The reversal of 8920464 is 4640298.

It is not an unprimeable number, because it can be changed into a prime (8920463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46609 + ... + 46799.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 2^8920464 is an apocalyptic number.

8920464 is a gapful number since it is divisible by the number (84) 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 8920464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

8920464 is an abundant number, since it is smaller than the sum of its proper divisors (17744496).

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

8920464 is a wasteful number, since it uses less digits than its factorization.

8920464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8920464 is about 2986.7145829490. The cubic root of 8920464 is about 207.3938219056.

The spelling of 8920464 in words is "eight million, nine hundred twenty thousand, four hundred sixty-four".