8948940 has 192 divisors, whose sum is σ = 33868800. Its totient is φ = 1704960.

The previous prime is 8948939. The next prime is 8948957. The reversal of 8948940 is 498498.

8948940 = T₂₆₁ + T₂₆₂ + ... + T₄₁₄.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8948892 and 8948901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59986 + ... + 60134.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^8948940 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 8948940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

8948940 is an abundant number, since it is smaller than the sum of its proper divisors (24919860).

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

8948940 is a wasteful number, since it uses less digits than its factorization.

8948940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8948940 is about 2991.4778956228. The cubic root of 8948940 is about 207.6142690880.

The spelling of 8948940 in words is "eight million, nine hundred forty-eight thousand, nine hundred forty".