88074560 has 168 divisors, whose sum is σ = 251743464. Its totient is φ = 29245440.

The previous prime is 88074533. The next prime is 88074587. The reversal of 88074560 is 6547088.

It is an interprime number because it is at equal distance from previous prime (88074533) and next prime (88074587).

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 87459904 = 784^2 + 9352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642812 + ... + 642948.

It is an arithmetic number, because the mean of its divisors is an integer number (1498473).

Almost surely, 2^88074560 is an apocalyptic number.

88074560 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 88074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125871732).

88074560 is an abundant number, since it is smaller than the sum of its proper divisors (163668904).

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

88074560 is a wasteful number, since it uses less digits than its factorization.

88074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 88074560 is about 9384.8047395777. The cubic root of 88074560 is about 444.9216038305.

The spelling of 88074560 in words is "eighty-eight million, seventy-four thousand, five hundred sixty".