89214048 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 23016960.

The previous prime is 89214031. The next prime is 89214053. The reversal of 89214048 is 84041298.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598678 + ... + 598826.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^89214048 is an apocalyptic number.

89214048 is a gapful number since it is divisible by the number (88) 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 89214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

89214048 is an abundant number, since it is smaller than the sum of its proper divisors (241006752).

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

89214048 is a wasteful number, since it uses less digits than its factorization.

89214048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 89214048 is about 9445.3188405686. The cubic root of 89214048 is about 446.8321517461.

The spelling of 89214048 in words is "eighty-nine million, two hundred fourteen thousand, forty-eight".