88851840 has 256 divisors, whose sum is σ = 353687040. Its totient is φ = 18432000.

The previous prime is 88851827. The next prime is 88851857. The reversal of 88851840 is 4815888.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 88851792 and 88851801.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 147540 + ... + 148140.

It is an arithmetic number, because the mean of its divisors is an integer number (1381590).

Almost surely, 2^88851840 is an apocalyptic number.

88851840 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 88851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176843520).

88851840 is an abundant number, since it is smaller than the sum of its proper divisors (264835200).

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

88851840 is a wasteful number, since it uses less digits than its factorization.

88851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 88851840 is about 9426.1253970017. The cubic root of 88851840 is about 446.2266204042.

The spelling of 88851840 in words is "eighty-eight million, eight hundred fifty-one thousand, eight hundred forty".