87456330 has 96 divisors (see below), whose sum is σ = 259341264. Its totient is φ = 20256768.

The previous prime is 87456323. The next prime is 87456337. The reversal of 87456330 is 3365478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87456323) and next prime (87456337).

It can be written as a sum of positive squares in 8 ways, for example, as 32592681 + 54863649 = 5709^2 + 7407^2 .

It is not an unprimeable number, because it can be changed into a prime (87456337) 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, 17692 + ... + 22088.

Almost surely, 2^87456330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87456330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129670632).

87456330 is an abundant number, since it is smaller than the sum of its proper divisors (171884934).

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

87456330 is a wasteful number, since it uses less digits than its factorization.

87456330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 87456330 is about 9351.8089159264. The cubic root of 87456330 is about 443.8781318805.

The spelling of 87456330 in words is "eighty-seven million, four hundred fifty-six thousand, three hundred thirty".