87997000 has 128 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 27820800.

The previous prime is 87996977. The next prime is 87997001. The reversal of 87997000 is 79978.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87997001) 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, 90517 + ... + 91483.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 2^87997000 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 87997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

87997000 is an abundant number, since it is smaller than the sum of its proper divisors (165696440).

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

87997000 is a wasteful number, since it uses less digits than its factorization.

87997000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 87997000 is about 9380.6716177468. The cubic root of 87997000 is about 444.7909635562.

It can be divided in two parts, 879 and 97000, that added together give a palindrome (97879).

The spelling of 87997000 in words is "eighty-seven million, nine hundred ninety-seven thousand".