88066440 has 320 divisors, whose sum is σ = 370085760. Its totient is φ = 18247680.

The previous prime is 88066427. The next prime is 88066469. The reversal of 88066440 is 4466088.

88066440 is a `hidden beast` number, since 8 + 8 + 0 + 6 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88066395 and 88066404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249304 + ... + 249656.

It is an arithmetic number, because the mean of its divisors is an integer number (1156518).

Almost surely, 2^88066440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185042880).

88066440 is an abundant number, since it is smaller than the sum of its proper divisors (282019320).

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

88066440 is a wasteful number, since it uses less digits than its factorization.

88066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 88066440 is about 9384.3721153842. The cubic root of 88066440 is about 444.9079302852.

The spelling of 88066440 in words is "eighty-eight million, sixty-six thousand, four hundred forty".