88984000 has 168 divisors, whose sum is σ = 257476752. Its totient is φ = 30374400.

The previous prime is 88983991. The next prime is 88984009. The reversal of 88984000 is 48988.

It is an interprime number because it is at equal distance from previous prime (88983991) and next prime (88984009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88984009) 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, 391887 + ... + 392113.

Almost surely, 2^88984000 is an apocalyptic number.

88984000 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 88984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128738376).

88984000 is an abundant number, since it is smaller than the sum of its proper divisors (168492752).

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

88984000 is a wasteful number, since it uses less digits than its factorization.

88984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 88984000 is about 9433.1330956369. The cubic root of 88984000 is about 446.4477529282.

The spelling of 88984000 in words is "eighty-eight million, nine hundred eighty-four thousand".