87607120 has 80 divisors (see below), whose sum is σ = 221624208. Its totient is φ = 32071680.

The previous prime is 87607109. The next prime is 87607127. The reversal of 87607120 is 2170678.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 446224 + 87160896 = 668^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87607127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49450 + ... + 51190.

Almost surely, 2^87607120 is an apocalyptic number.

87607120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87607120 is the 5920-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110812104).

87607120 is an abundant number, since it is smaller than the sum of its proper divisors (134017088).

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

87607120 is a wasteful number, since it uses less digits than its factorization.

87607120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 87607120 is about 9359.8675204300. The cubic root of 87607120 is about 444.1330932332.

Adding to 87607120 its reverse (2170678), we get a palindrome (89777798).

The spelling of 87607120 in words is "eighty-seven million, six hundred seven thousand, one hundred twenty".