8157240 has 256 divisors, whose sum is σ = 33868800. Its totient is φ = 1700352.

The previous prime is 8157223. The next prime is 8157241. The reversal of 8157240 is 427518.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8157241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98239 + ... + 98321.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^8157240 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 8157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

8157240 is an abundant number, since it is smaller than the sum of its proper divisors (25711560).

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

8157240 is a wasteful number, since it uses less digits than its factorization.

8157240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8157240 is about 2856.0882339312. The cubic root of 8157240 is about 201.3018409972.

The spelling of 8157240 in words is "eight million, one hundred fifty-seven thousand, two hundred forty".