88938000 has 280 divisors, whose sum is σ = 327716376. Its totient is φ = 23328000.

The previous prime is 88937929. The next prime is 88938001. The reversal of 88938000 is 83988.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 67371264 = 4644^2 + 8208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (88938001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1457970 + ... + 1458030.

Almost surely, 2^88938000 is an apocalyptic number.

88938000 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 88938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163858188).

88938000 is an abundant number, since it is smaller than the sum of its proper divisors (238778376).

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

88938000 is an equidigital number, since it uses as much as digits as its factorization.

88938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88938000 is about 9430.6945661494. The cubic root of 88938000 is about 446.3708097458.

The spelling of 88938000 in words is "eighty-eight million, nine hundred thirty-eight thousand".