7290640 has 80 divisors (see below), whose sum is σ = 19855872. Its totient is φ = 2437632.

The previous prime is 7290631. The next prime is 7290641. The reversal of 7290640 is 460927.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 7290599 and 7290608.

It is not an unprimeable number, because it can be changed into a prime (7290641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26182 + ... + 26458.

Almost surely, 2^7290640 is an apocalyptic number.

7290640 is a gapful number since it is divisible by the number (70) 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 7290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927936).

7290640 is an abundant number, since it is smaller than the sum of its proper divisors (12565232).

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

7290640 is a wasteful number, since it uses less digits than its factorization.

7290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 7290640 is about 2700.1185159174. The cubic root of 7290640 is about 193.9047961681.

It can be divided in two parts, 7290 and 640, that multiplied together give a square (4665600 = 2160²).

The spelling of 7290640 in words is "seven million, two hundred ninety thousand, six hundred forty".