87374664 has 96 divisors (see below), whose sum is σ = 256521720. Its totient is φ = 26707968.

The previous prime is 87374657. The next prime is 87374671. The reversal of 87374664 is 46647378.

It is an interprime number because it is at equal distance from previous prime (87374657) and next prime (87374671).

It can be written as a sum of positive squares in 4 ways, for example, as 34928100 + 52446564 = 5910^2 + 7242^2 .

It is a super-2 number, since 2×87374664² = 15268663818225792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259104 + ... + 259440.

Almost surely, 2^87374664 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 87374664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128260860).

87374664 is an abundant number, since it is smaller than the sum of its proper divisors (169147056).

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

87374664 is a wasteful number, since it uses less digits than its factorization.

87374664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 87374664 is about 9347.4415751049. The cubic root of 87374664 is about 443.7399256061.

The spelling of 87374664 in words is "eighty-seven million, three hundred seventy-four thousand, six hundred sixty-four".