87646464 has 108 divisors (see below), whose sum is σ = 255755500. Its totient is φ = 28864512.

The previous prime is 87646463. The next prime is 87646469. The reversal of 87646464 is 46464678.

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 24920064 = 7920^2 + 4992^2 .

It is not an unprimeable number, because it can be changed into a prime (87646463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250962 + ... + 251310.

Almost surely, 2^87646464 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 87646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127877750).

87646464 is an abundant number, since it is smaller than the sum of its proper divisors (168109036).

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

87646464 is a wasteful number, since it uses less digits than its factorization.

87646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 87646464 is about 9361.9690236616. The cubic root of 87646464 is about 444.1995694026.

The spelling of 87646464 in words is "eighty-seven million, six hundred forty-six thousand, four hundred sixty-four".