88125564 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 27025920.

The previous prime is 88125559. The next prime is 88125571. The reversal of 88125564 is 46552188.

It is a super-2 number, since 2×88125564² = 15532230060636192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 855537 + ... + 855639.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^88125564 is an apocalyptic number.

It is an amenable number.

88125564 is an abundant number, since it is smaller than the sum of its proper divisors (134956932).

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

88125564 is a wasteful number, since it uses less digits than its factorization.

88125564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 88125564 is about 9387.5217176846. The cubic root of 88125564 is about 445.0074719951.

It can be divided in two parts, 88125 and 564, that multiplied together give a square (49702500 = 7050²).

The spelling of 88125564 in words is "eighty-eight million, one hundred twenty-five thousand, five hundred sixty-four".