87340032 has 198 divisors, whose sum is σ = 282023378. Its totient is φ = 26873856.

The previous prime is 87340031. The next prime is 87340063. The reversal of 87340032 is 23004378.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 26873856 = 7776^2 + 5184^2 .

It is a super-2 number, since 2×87340032² = 15256562379522048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 87339978 and 87340005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87340031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6718458 + ... + 6718470.

Almost surely, 2^87340032 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 87340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141011689).

87340032 is an abundant number, since it is smaller than the sum of its proper divisors (194683346).

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

87340032 is an frugal number, since it uses more digits than its factorization.

87340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 87340032 is about 9345.5889060027. The cubic root of 87340032 is about 443.6812906379.

The spelling of 87340032 in words is "eighty-seven million, three hundred forty thousand, thirty-two".