87429640 has 128 divisors (see below), whose sum is σ = 224726400. Its totient is φ = 30412800.

The previous prime is 87429637. The next prime is 87429761. The reversal of 87429640 is 4692478.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 87429593 and 87429602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865590 + ... + 865690.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 2^87429640 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 87429640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

87429640 is an abundant number, since it is smaller than the sum of its proper divisors (137296760).

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

87429640 is a wasteful number, since it uses less digits than its factorization.

87429640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 87429640 is about 9350.3818103861. The cubic root of 87429640 is about 443.8329729129.

The spelling of 87429640 in words is "eighty-seven million, four hundred twenty-nine thousand, six hundred forty".