87801672 has 128 divisors (see below), whose sum is σ = 270581760. Its totient is φ = 23189760.

The previous prime is 87801671. The next prime is 87801673. The reversal of 87801672 is 27610878.

It is an interprime number because it is at equal distance from previous prime (87801671) and next prime (87801673).

It is a self number, because there is not a number n which added to its sum of digits gives 87801672.

It is not an unprimeable number, because it can be changed into a prime (87801671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119418 + ... + 120150.

It is an arithmetic number, because the mean of its divisors is an integer number (2113920).

Almost surely, 2^87801672 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 87801672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135290880).

87801672 is an abundant number, since it is smaller than the sum of its proper divisors (182780088).

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

87801672 is a wasteful number, since it uses less digits than its factorization.

87801672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 87801672 is about 9370.2546390160. The cubic root of 87801672 is about 444.4616171328.

The spelling of 87801672 in words is "eighty-seven million, eight hundred one thousand, six hundred seventy-two".