87906000 has 480 divisors, whose sum is σ = 370476288. Its totient is φ = 17740800.

The previous prime is 87905999. The next prime is 87906011. The reversal of 87906000 is 60978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3821989 + ... + 3822011.

Almost surely, 2^87906000 is an apocalyptic number.

87906000 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 87906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

87906000 is an abundant number, since it is smaller than the sum of its proper divisors (282570288).

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

87906000 is a wasteful number, since it uses less digits than its factorization.

87906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 87906000 is about 9375.8199641418. The cubic root of 87906000 is about 444.6375873497.

Adding to 87906000 its reverse (60978), we get a palindrome (87966978).

The spelling of 87906000 in words is "eighty-seven million, nine hundred six thousand".