8357040 has 160 divisors (see below), whose sum is σ = 29730240. Its totient is φ = 2156544.

The previous prime is 8357039. The next prime is 8357051. The reversal of 8357040 is 407538.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8356995 and 8357013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114444 + ... + 114516.

It is an arithmetic number, because the mean of its divisors is an integer number (185814).

Almost surely, 2^8357040 is an apocalyptic number.

8357040 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 8357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865120).

8357040 is an abundant number, since it is smaller than the sum of its proper divisors (21373200).

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

8357040 is a wasteful number, since it uses less digits than its factorization.

8357040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8357040 is about 2890.8545449400. The cubic root of 8357040 is about 202.9321361479.

It can be divided in two parts, 835 and 7040, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 8357040 in words is "eight million, three hundred fifty-seven thousand, forty".