87735312 has 200 divisors, whose sum is σ = 306081600. Its totient is φ = 23701248.

The previous prime is 87735311. The next prime is 87735313. The reversal of 87735312 is 21353778.

It is an interprime number because it is at equal distance from previous prime (87735311) and next prime (87735313).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87735311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172114 + ... + 172622.

It is an arithmetic number, because the mean of its divisors is an integer number (1530408).

Almost surely, 2^87735312 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 87735312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153040800).

87735312 is an abundant number, since it is smaller than the sum of its proper divisors (218346288).

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

87735312 is a wasteful number, since it uses less digits than its factorization.

87735312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 87735312 is about 9366.7129773470. The cubic root of 87735312 is about 444.3496150644.

The spelling of 87735312 in words is "eighty-seven million, seven hundred thirty-five thousand, three hundred twelve".