87682690032 has 160 divisors (see below), whose sum is σ = 282943033344. Its totient is φ = 22817894400.

The previous prime is 87682690031. The next prime is 87682690057. The reversal of 87682690032 is 23009628678.

It is a super-2 number, since 2×87682690032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87682690031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70519 + ... + 424662.

Almost surely, 2^87682690032 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 87682690032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141471516672).

87682690032 is an abundant number, since it is smaller than the sum of its proper divisors (195260343312).

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

87682690032 is a wasteful number, since it uses less digits than its factorization.

87682690032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495247 (or 495241 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 87682690032 in words is "eighty-seven billion, six hundred eighty-two million, six hundred ninety thousand, thirty-two".