87449600 has 168 divisors, whose sum is σ = 251905008. Its totient is φ = 29491200.

The previous prime is 87449599. The next prime is 87449617. The reversal of 87449600 is 694478.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433570 + ... + 1433630.

Almost surely, 2^87449600 is an apocalyptic number.

87449600 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 87449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125952504).

87449600 is an abundant number, since it is smaller than the sum of its proper divisors (164455408).

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

87449600 is an equidigital number, since it uses as much as digits as its factorization.

87449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 87449600 is about 9351.4490855696. The cubic root of 87449600 is about 443.8667457160.

The spelling of 87449600 in words is "eighty-seven million, four hundred forty-nine thousand, six hundred".