88574000 has 80 divisors (see below), whose sum is σ = 217697376. Its totient is φ = 34848000.

The previous prime is 88573999. The next prime is 88574009. The reversal of 88574000 is 47588.

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 (88574009) 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, 133670 + ... + 134330.

Almost surely, 2^88574000 is an apocalyptic number.

88574000 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 88574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108848688).

88574000 is an abundant number, since it is smaller than the sum of its proper divisors (129123376).

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

88574000 is a wasteful number, since it uses less digits than its factorization.

88574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 88574000 is about 9411.3760949183. The cubic root of 88574000 is about 445.7610173756.

The spelling of 88574000 in words is "eighty-eight million, five hundred seventy-four thousand".