7641000 has 128 divisors (see below), whose sum is σ = 26582400. Its totient is φ = 2030400.

The previous prime is 7640999. The next prime is 7641001. The reversal of 7641000 is 1467.

It is an interprime number because it is at equal distance from previous prime (7640999) and next prime (7641001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (7641001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26859 + ... + 27141.

It is an arithmetic number, because the mean of its divisors is an integer number (207675).

Almost surely, 2^7641000 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 7641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291200).

7641000 is an abundant number, since it is smaller than the sum of its proper divisors (18941400).

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

7641000 is a wasteful number, since it uses less digits than its factorization.

7641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7641000 is about 2764.2358799495. The cubic root of 7641000 is about 196.9624328204.

Adding to 7641000 its reverse (1467), we get a palindrome (7642467).

It can be divided in two parts, 764 and 1000, that added together give a square (1764 = 42²).

The spelling of 7641000 in words is "seven million, six hundred forty-one thousand".