7416640 has 168 divisors, whose sum is σ = 22933152. Its totient is φ = 2257920.

The previous prime is 7416587. The next prime is 7416659. The reversal of 7416640 is 466147.

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 = 7416599 and 7416608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172459 + ... + 172501.

Almost surely, 2^7416640 is an apocalyptic number.

7416640 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 7416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466576).

7416640 is an abundant number, since it is smaller than the sum of its proper divisors (15516512).

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

7416640 is a wasteful number, since it uses less digits than its factorization.

7416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

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

The square root of 7416640 is about 2723.3508771365. The cubic root of 7416640 is about 195.0154710495.

It can be divided in two parts, 741 and 6640, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 7416640 in words is "seven million, four hundred sixteen thousand, six hundred forty".