87970000 has 100 divisors (see below), whose sum is σ = 224678080. Its totient is φ = 33264000.

The previous prime is 87969953. The next prime is 87970007. The reversal of 87970000 is 7978.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87970007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189769 + ... + 190231.

Almost surely, 2^87970000 is an apocalyptic number.

87970000 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 87970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112339040).

87970000 is an abundant number, since it is smaller than the sum of its proper divisors (136708080).

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

87970000 is a wasteful number, since it uses less digits than its factorization.

87970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 87970000 is about 9379.2323779721. The cubic root of 87970000 is about 444.7454673670.

Adding to 87970000 its reverse (7978), we get a palindrome (87977978).

The spelling of 87970000 in words is "eighty-seven million, nine hundred seventy thousand".