8279040 has 264 divisors, whose sum is σ = 33603552. Its totient is φ = 1720320.

The previous prime is 8279027. The next prime is 8279053. The reversal of 8279040 is 409728.

It is an interprime number because it is at equal distance from previous prime (8279027) and next prime (8279053).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8278989 and 8279007.

It is a congruent number.

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, 752635 + ... + 752645.

Almost surely, 2^8279040 is an apocalyptic number.

8279040 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 8279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801776).

8279040 is an abundant number, since it is smaller than the sum of its proper divisors (25324512).

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

8279040 is a wasteful number, since it uses less digits than its factorization.

8279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8279040 is about 2877.3320976210. The cubic root of 8279040 is about 202.2988094740.

The spelling of 8279040 in words is "eight million, two hundred seventy-nine thousand, forty".