88826000 has 80 divisors (see below), whose sum is σ = 224235648. Its totient is φ = 33968000.

The previous prime is 88825999. The next prime is 88826009. The reversal of 88826000 is 62888.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (88826009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45035 + ... + 46965.

Almost surely, 2^88826000 is an apocalyptic number.

88826000 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 88826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112117824).

88826000 is an abundant number, since it is smaller than the sum of its proper divisors (135409648).

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

88826000 is a wasteful number, since it uses less digits than its factorization.

88826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 88826000 is about 9424.7546387161. The cubic root of 88826000 is about 446.1833588209.

Adding to 88826000 its reverse (62888), we get a palindrome (88888888).

The spelling of 88826000 in words is "eighty-eight million, eight hundred twenty-six thousand".