87161400 has 96 divisors (see below), whose sum is σ = 300241200. Its totient is φ = 23241600.

The previous prime is 87161383. The next prime is 87161407. The reversal of 87161400 is 416178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87161407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2671 + ... + 13470.

Almost surely, 2^87161400 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 87161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150120600).

87161400 is an abundant number, since it is smaller than the sum of its proper divisors (213079800).

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

87161400 is a wasteful number, since it uses less digits than its factorization.

87161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16166 (or 16151 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87161400 is about 9336.0269922489. The cubic root of 87161400 is about 443.3786048077.

Adding to 87161400 its reverse (416178), we get a palindrome (87577578).

The spelling of 87161400 in words is "eighty-seven million, one hundred sixty-one thousand, four hundred".