87892000 has 192 divisors, whose sum is σ = 255999744. Its totient is φ = 29030400.

The previous prime is 87891949. The next prime is 87892009. The reversal of 87892000 is 29878.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87892009) 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, 1203964 + ... + 1204036.

It is an arithmetic number, because the mean of its divisors is an integer number (1333332).

Almost surely, 2^87892000 is an apocalyptic number.

87892000 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 87892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127999872).

87892000 is an abundant number, since it is smaller than the sum of its proper divisors (168107744).

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

87892000 is a wasteful number, since it uses less digits than its factorization.

87892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 87892000 is about 9375.0733330465. The cubic root of 87892000 is about 444.6139816167.

The spelling of 87892000 in words is "eighty-seven million, eight hundred ninety-two thousand".