89484600 has 192 divisors, whose sum is σ = 304266240. Its totient is φ = 21657600.

The previous prime is 89484589. The next prime is 89484601. The reversal of 89484600 is 648498.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89484601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316059 + ... + 316341.

It is an arithmetic number, because the mean of its divisors is an integer number (1584720).

Almost surely, 2^89484600 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 89484600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152133120).

89484600 is an abundant number, since it is smaller than the sum of its proper divisors (214781640).

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

89484600 is a wasteful number, since it uses less digits than its factorization.

89484600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 89484600 is about 9459.6300139065. The cubic root of 89484600 is about 447.2833861081.

The spelling of 89484600 in words is "eighty-nine million, four hundred eighty-four thousand, six hundred".