88040064 has 96 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 25148928.

The previous prime is 88040047. The next prime is 88040081. The reversal of 88040064 is 46004088.

It is an interprime number because it is at equal distance from previous prime (88040047) and next prime (88040081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16477 + ... + 21155.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^88040064 is an apocalyptic number.

88040064 is a gapful number since it is divisible by the number (84) 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 88040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

88040064 is an abundant number, since it is smaller than the sum of its proper divisors (184055136).

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

88040064 is a wasteful number, since it uses less digits than its factorization.

88040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 88040064 is about 9382.9666950278. The cubic root of 88040064 is about 444.8635090381.

The spelling of 88040064 in words is "eighty-eight million, forty thousand, sixty-four".