88074 has 32 divisors (see below), whose sum is σ = 224640. Its totient is φ = 25056.

The previous prime is 88069. The next prime is 88079. The reversal of 88074 is 47088.

88074 = 42² + 43² + ... + 69².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88069) and next prime (88079).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88074.

It is not an unprimeable number, because it can be changed into a prime (88079) by changing a digit.

88074 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁸⁸⁰⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

88074 is an abundant number, since it is smaller than the sum of its proper divisors (136566).

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

88074 is a wasteful number, since it uses less digits than its factorization.

88074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 88074 is about 296.7726402484. The cubic root of 88074 is about 44.4920660854.

The spelling of 88074 in words is "eighty-eight thousand, seventy-four".