88604640 has 144 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 22975488.

The previous prime is 88604623. The next prime is 88604641. The reversal of 88604640 is 4640688.

88604640 is a `hidden beast` number, since 8 + 8 + 6 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 88604595 and 88604604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88604641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52449 + ... + 54111.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 2^88604640 is an apocalyptic number.

88604640 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 88604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

88604640 is an abundant number, since it is smaller than the sum of its proper divisors (222117408).

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

88604640 is a wasteful number, since it uses less digits than its factorization.

88604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1710 counting only the distinct ones).

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

The square root of 88604640 is about 9413.0037713793. The cubic root of 88604640 is about 445.8124114754.

The spelling of 88604640 in words is "eighty-eight million, six hundred four thousand, six hundred forty".