88493760 has 84 divisors (see below), whose sum is σ = 304391568. Its totient is φ = 23597568.

The previous prime is 88493723. The next prime is 88493767. The reversal of 88493760 is 6739488.

It is a happy number.

It is a super-2 number, since 2×88493760² = 15662291117875200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (88493767) 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 11 ways as a sum of consecutive naturals, for example, 12484 + ... + 18243.

Almost surely, 2^88493760 is an apocalyptic number.

88493760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88493760 is an abundant number, since it is smaller than the sum of its proper divisors (215897808).

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

88493760 is a wasteful number, since it uses less digits than its factorization.

88493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30750 (or 30737 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 88493760 is about 9407.1122030090. The cubic root of 88493760 is about 445.6263703750.

It can be divided in two parts, 88493 and 760, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 88493760 in words is "eighty-eight million, four hundred ninety-three thousand, seven hundred sixty".