87197760 has 336 divisors, whose sum is σ = 344491056. Its totient is φ = 20054016.

The previous prime is 87197749. The next prime is 87197767. The reversal of 87197760 is 6779178.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 484416 + 86713344 = 696^2 + 9312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87197767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636412 + ... + 636548.

It is an arithmetic number, because the mean of its divisors is an integer number (1025271).

Almost surely, 2^87197760 is an apocalyptic number.

87197760 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 87197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172245528).

87197760 is an abundant number, since it is smaller than the sum of its proper divisors (257293296).

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

87197760 is a wasteful number, since it uses less digits than its factorization.

87197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 87197760 is about 9337.9740843504. The cubic root of 87197760 is about 443.4402490864.

The spelling of 87197760 in words is "eighty-seven million, one hundred ninety-seven thousand, seven hundred sixty".