88496640 has 240 divisors, whose sum is σ = 321729408. Its totient is φ = 22437888.

The previous prime is 88496633. The next prime is 88496641. The reversal of 88496640 is 4669488.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88496641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529837 + ... + 530003.

Almost surely, 2^88496640 is an apocalyptic number.

88496640 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 88496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

88496640 is an abundant number, since it is smaller than the sum of its proper divisors (233232768).

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

88496640 is a wasteful number, since it uses less digits than its factorization.

88496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 88496640 is about 9407.2652774332. The cubic root of 88496640 is about 445.6312045766.

The spelling of 88496640 in words is "eighty-eight million, four hundred ninety-six thousand, six hundred forty".