8277640 has 128 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 2543616.

The previous prime is 8277637. The next prime is 8277653. The reversal of 8277640 is 467728.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 8277596 and 8277605.

It is a congruent number.

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, 176097 + ... + 176143.

It is an arithmetic number, because the mean of its divisors is an integer number (184680).

Almost surely, 2^8277640 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 8277640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819520).

8277640 is an abundant number, since it is smaller than the sum of its proper divisors (15361400).

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

8277640 is a wasteful number, since it uses less digits than its factorization.

8277640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 8277640 is about 2877.0888064153. The cubic root of 8277640 is about 202.2874058049.

The spelling of 8277640 in words is "eight million, two hundred seventy-seven thousand, six hundred forty".