88690560 has 128 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 20269056.

The previous prime is 88690559. The next prime is 88690561. The reversal of 88690560 is 6509688.

It is an interprime number because it is at equal distance from previous prime (88690559) and next prime (88690561).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×88690560² = 15732030866227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88690561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10141 + ... + 16739.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2^88690560 is an apocalyptic number.

88690560 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 88690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

88690560 is an abundant number, since it is smaller than the sum of its proper divisors (234445440).

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

88690560 is a wasteful number, since it uses less digits than its factorization.

88690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 88690560 is about 9417.5665646705. The cubic root of 88690560 is about 445.9564664890.

The spelling of 88690560 in words is "eighty-eight million, six hundred ninety thousand, five hundred sixty".