87691824 has 240 divisors, whose sum is σ = 292481280. Its totient is φ = 24245760.

The previous prime is 87691823. The next prime is 87691837. The reversal of 87691824 is 42819678.

It is a self number, because there is not a number n which added to its sum of digits gives 87691824.

It is not an unprimeable number, because it can be changed into a prime (87691823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056487 + ... + 1056569.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^87691824 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 87691824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

87691824 is an abundant number, since it is smaller than the sum of its proper divisors (204789456).

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

87691824 is a wasteful number, since it uses less digits than its factorization.

87691824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 87691824 is about 9364.3912776005. The cubic root of 87691824 is about 444.2761856045.

The spelling of 87691824 in words is "eighty-seven million, six hundred ninety-one thousand, eight hundred twenty-four".