87926640 has 80 divisors (see below), whose sum is σ = 273518208. Its totient is φ = 23365888.

The previous prime is 87926609. The next prime is 87926647. The reversal of 87926640 is 4662978.

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

It is a junction number, because it is equal to n+sod(n) for n = 87926592 and 87926601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87926647) 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, 105907 + ... + 106733.

Almost surely, 2^87926640 is an apocalyptic number.

87926640 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 87926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136759104).

87926640 is an abundant number, since it is smaller than the sum of its proper divisors (185591568).

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

87926640 is a wasteful number, since it uses less digits than its factorization.

87926640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 87926640 is about 9376.9206032684. The cubic root of 87926640 is about 444.6723843739.

The spelling of 87926640 in words is "eighty-seven million, nine hundred twenty-six thousand, six hundred forty".