87666264 has 144 divisors (see below), whose sum is σ = 281932560. Its totient is φ = 24105600.

The previous prime is 87666259. The next prime is 87666269. The reversal of 87666264 is 46266678.

It is an interprime number because it is at equal distance from previous prime (87666259) and next prime (87666269).

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87666269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484254 + ... + 484434.

It is an arithmetic number, because the mean of its divisors is an integer number (1957865).

Almost surely, 2^87666264 is an apocalyptic number.

87666264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87666264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140966280).

87666264 is an abundant number, since it is smaller than the sum of its proper divisors (194266296).

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

87666264 is a wasteful number, since it uses less digits than its factorization.

87666264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 224 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 87666264 is about 9363.0264337980. The cubic root of 87666264 is about 444.2330162330.

The spelling of 87666264 in words is "eighty-seven million, six hundred sixty-six thousand, two hundred sixty-four".