88245120 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 21381120.

The previous prime is 88245107. The next prime is 88245121. The reversal of 88245120 is 2154288.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88245121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495651 + ... + 1495709.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^88245120 is an apocalyptic number.

88245120 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 88245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

88245120 is an abundant number, since it is smaller than the sum of its proper divisors (220202880).

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

88245120 is a wasteful number, since it uses less digits than its factorization.

88245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 88245120 is about 9393.8873742450. The cubic root of 88245120 is about 445.2086216180.

The spelling of 88245120 in words is "eighty-eight million, two hundred forty-five thousand, one hundred twenty".