87929640 has 96 divisors (see below), whose sum is σ = 295027200. Its totient is φ = 22688640.

The previous prime is 87929629. The next prime is 87929641. The reversal of 87929640 is 4692978.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (87929641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7221 + ... + 15099.

It is an arithmetic number, because the mean of its divisors is an integer number (3073200).

Almost surely, 2^87929640 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 87929640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147513600).

87929640 is an abundant number, since it is smaller than the sum of its proper divisors (207097560).

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

87929640 is a wasteful number, since it uses less digits than its factorization.

87929640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 87929640 is about 9377.0805691324. The cubic root of 87929640 is about 444.6774416277.

The spelling of 87929640 in words is "eighty-seven million, nine hundred twenty-nine thousand, six hundred forty".