87296496 has 240 divisors, whose sum is σ = 292362240. Its totient is φ = 21934080.

The previous prime is 87296471. The next prime is 87296519. The reversal of 87296496 is 69469278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1306368) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2816001 + ... + 2816031.

It is an arithmetic number, because the mean of its divisors is an integer number (1218176).

Almost surely, 2^87296496 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 87296496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146181120).

87296496 is an abundant number, since it is smaller than the sum of its proper divisors (205065744).

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

87296496 is a wasteful number, since it uses less digits than its factorization.

87296496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 87296496 is about 9343.2593884575. The cubic root of 87296496 is about 443.6075584345.

It can be divided in two parts, 8729 and 6496, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 87296496 in words is "eighty-seven million, two hundred ninety-six thousand, four hundred ninety-six".