7640416 has 48 divisors (see below), whose sum is σ = 17950464. Its totient is φ = 3129984.

The previous prime is 7640411. The next prime is 7640419. The reversal of 7640416 is 6140467.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4411 + ... + 5893.

It is an arithmetic number, because the mean of its divisors is an integer number (373968).

Almost surely, 2^7640416 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 7640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975232).

7640416 is an abundant number, since it is smaller than the sum of its proper divisors (10310048).

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

7640416 is a wasteful number, since it uses less digits than its factorization.

7640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7640416 is about 2764.1302429517. The cubic root of 7640416 is about 196.9574147603.

The spelling of 7640416 in words is "seven million, six hundred forty thousand, four hundred sixteen".