88893840 has 120 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 20315904.

The previous prime is 88893839. The next prime is 88893853. The reversal of 88893840 is 4839888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×88893840² = 15804229579891200, which contains 22 as substring.

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 88893840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7981 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^88893840 is an apocalyptic number.

88893840 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 88893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

88893840 is an abundant number, since it is smaller than the sum of its proper divisors (231710640).

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

88893840 is a wasteful number, since it uses less digits than its factorization.

88893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 88893840 is about 9428.3529844825. The cubic root of 88893840 is about 446.2969193266.

The spelling of 88893840 in words is "eighty-eight million, eight hundred ninety-three thousand, eight hundred forty".