88271640 has 192 divisors, whose sum is σ = 308757600. Its totient is φ = 22415616.

The previous prime is 88271627. The next prime is 88271641. The reversal of 88271640 is 4617288.

88271640 is a `hidden beast` number, since 8 + 8 + 2 + 7 + 1 + 640 = 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 = 88271595 and 88271604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88271641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878097 + ... + 1878143.

Almost surely, 2^88271640 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 88271640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378800).

88271640 is an abundant number, since it is smaller than the sum of its proper divisors (220485960).

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

88271640 is a wasteful number, since it uses less digits than its factorization.

88271640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88271640 is about 9395.2988244121. The cubic root of 88271640 is about 445.2532161523.

The spelling of 88271640 in words is "eighty-eight million, two hundred seventy-one thousand, six hundred forty".