7874496 has 210 divisors, whose sum is σ = 28029408. Its totient is φ = 2177280.

The previous prime is 7874479. The next prime is 7874497. The reversal of 7874496 is 6944787.

7874496 is a nontrivial binomial coefficient, being equal to C(3969, 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7874497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254001 + ... + 254031.

Almost surely, 2^7874496 is an apocalyptic number.

7874496 is the 3968-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014704).

7874496 is an abundant number, since it is smaller than the sum of its proper divisors (20154912).

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

7874496 is a wasteful number, since it uses less digits than its factorization.

7874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 43 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7874496 is about 2806.1532388663. The cubic root of 7874496 is about 198.9486159766.

It can be divided in two parts, 7 and 874496, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 7874496 in words is "seven million, eight hundred seventy-four thousand, four hundred ninety-six".