88088000 has 336 divisors, whose sum is σ = 295119552. Its totient is φ = 25344000.

The previous prime is 88087981. The next prime is 88088027. The reversal of 88088000 is 88088.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 6775994 + ... + 6776006.

It is an arithmetic number, because the mean of its divisors is an integer number (878332).

Almost surely, 2^88088000 is an apocalyptic number.

88088000 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 88088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776).

88088000 is an abundant number, since it is smaller than the sum of its proper divisors (207031552).

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

88088000 is a wasteful number, since it uses less digits than its factorization.

88088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 88088000 is about 9385.5207633887. The cubic root of 88088000 is about 444.9442340589.

88088000 divided by its reverse (88088) gives a cube (1000 = 10³).

It can be divided in two parts, 880 and 88000, that multiplied together give a square (77440000 = 8800²).

The spelling of 88088000 in words is "eighty-eight million, eighty-eight thousand".