87429000 has 128 divisors (see below), whose sum is σ = 276007680. Its totient is φ = 23040000.

The previous prime is 87428989. The next prime is 87429029. The reversal of 87429000 is 92478.

It is a hoax number, since the sum of its digits (30) 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 (30).

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, 452904 + ... + 453096.

It is an arithmetic number, because the mean of its divisors is an integer number (2156310).

Almost surely, 2^87429000 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 87429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138003840).

87429000 is an abundant number, since it is smaller than the sum of its proper divisors (188578680).

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

87429000 is a wasteful number, since it uses less digits than its factorization.

87429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 87429000 is about 9350.3475871221. The cubic root of 87429000 is about 443.8318899323.

The spelling of 87429000 in words is "eighty-seven million, four hundred twenty-nine thousand".