87609120 has 48 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 23362304.

The previous prime is 87609113. The next prime is 87609127. The reversal of 87609120 is 2190678.

It is an interprime number because it is at equal distance from previous prime (87609113) and next prime (87609127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87609127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90780 + ... + 91739.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^87609120 is an apocalyptic number.

87609120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87609120 is an abundant number, since it is smaller than the sum of its proper divisors (188361120).

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

87609120 is a wasteful number, since it uses less digits than its factorization.

87609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182537 (or 182529 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 87609120 is about 9359.9743589392. The cubic root of 87609120 is about 444.1364729411.

Adding to 87609120 its reverse (2190678), we get a palindrome (89799798).

The spelling of 87609120 in words is "eighty-seven million, six hundred nine thousand, one hundred twenty".