87929400 has 96 divisors (see below), whose sum is σ = 293574960. Its totient is φ = 21642240.

The previous prime is 87929383. The next prime is 87929407. The reversal of 87929400 is 492978.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87929407) 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, 2164 + ... + 13436.

Almost surely, 2^87929400 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 87929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146787480).

87929400 is an abundant number, since it is smaller than the sum of its proper divisors (205645560).

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

87929400 is a wasteful number, since it uses less digits than its factorization.

87929400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 87929400 is about 9377.0677719637. The cubic root of 87929400 is about 444.6770370516.

The spelling of 87929400 in words is "eighty-seven million, nine hundred twenty-nine thousand, four hundred".