88947936 has 288 divisors, whose sum is σ = 330946560. Its totient is φ = 22982400.

The previous prime is 88947931. The next prime is 88947941. The reversal of 88947936 is 63974988.

It is an interprime number because it is at equal distance from previous prime (88947931) and next prime (88947941).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88947931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465601 + ... + 465791.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^88947936 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 88947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

88947936 is an abundant number, since it is smaller than the sum of its proper divisors (241998624).

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

88947936 is a wasteful number, since it uses less digits than its factorization.

88947936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 88947936 is about 9431.2213419048. The cubic root of 88947936 is about 446.3874317192.

The spelling of 88947936 in words is "eighty-eight million, nine hundred forty-seven thousand, nine hundred thirty-six".