88849920 has 160 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 22618112.

The previous prime is 88849867. The next prime is 88849921. The reversal of 88849920 is 2994888.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88849920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88849921) 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, 176389 + ... + 176891.

Almost surely, 2^88849920 is an apocalyptic number.

88849920 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 88849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

88849920 is an abundant number, since it is smaller than the sum of its proper divisors (208131072).

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

88849920 is a wasteful number, since it uses less digits than its factorization.

88849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 88849920 is about 9426.0235518484. The cubic root of 88849920 is about 446.2234062097.

The spelling of 88849920 in words is "eighty-eight million, eight hundred forty-nine thousand, nine hundred twenty".