88045920 has 192 divisors, whose sum is σ = 312984000. Its totient is φ = 23113728.

The previous prime is 88045889. The next prime is 88045931. The reversal of 88045920 is 2954088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384366 + ... + 384594.

It is an arithmetic number, because the mean of its divisors is an integer number (1630125).

Almost surely, 2^88045920 is an apocalyptic number.

88045920 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 88045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156492000).

88045920 is an abundant number, since it is smaller than the sum of its proper divisors (224938080).

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

88045920 is a wasteful number, since it uses less digits than its factorization.

88045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 88045920 is about 9383.2787446606. The cubic root of 88045920 is about 444.8733722103.

The spelling of 88045920 in words is "eighty-eight million, forty-five thousand, nine hundred twenty".