8407960 has 64 divisors (see below), whose sum is σ = 20956320. Its totient is φ = 3010560.

The previous prime is 8407957. The next prime is 8407961. The reversal of 8407960 is 697048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8407961) 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, 42582 + ... + 42778.

Almost surely, 2^8407960 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 8407960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160).

8407960 is an abundant number, since it is smaller than the sum of its proper divisors (12548360).

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

8407960 is a wasteful number, since it uses less digits than its factorization.

8407960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8407960 is about 2899.6482545302. The cubic root of 8407960 is about 203.3434615278.

The spelling of 8407960 in words is "eight million, four hundred seven thousand, nine hundred sixty".