87032000 has 224 divisors, whose sum is σ = 251057664. Its totient is φ = 29568000.

The previous prime is 87031949. The next prime is 87032017. The reversal of 87032000 is 23078.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023979 + ... + 2024021.

Almost surely, 2^87032000 is an apocalyptic number.

87032000 is a gapful number since it is divisible by the number (80) 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 87032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125528832).

87032000 is an abundant number, since it is smaller than the sum of its proper divisors (164025664).

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

87032000 is a wasteful number, since it uses less digits than its factorization.

87032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 87032000 is about 9329.0942754375. The cubic root of 87032000 is about 443.1590825306.

Adding to 87032000 its reverse (23078), we get a palindrome (87055078).

The spelling of 87032000 in words is "eighty-seven million, thirty-two thousand".