88016292 has 144 divisors (see below), whose sum is σ = 278608512. Its totient is φ = 22809600.

The previous prime is 88016287. The next prime is 88016311. The reversal of 88016292 is 29261088.

88016292 = T₃₆₃ + T₃₆₄ + ... + T₈₃₁.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219292 + ... + 219692.

Almost surely, 2^88016292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88016292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139304256).

88016292 is an abundant number, since it is smaller than the sum of its proper divisors (190592220).

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

88016292 is a wasteful number, since it uses less digits than its factorization.

88016292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88016292 is about 9381.6998459767. The cubic root of 88016292 is about 444.8234657259.

The spelling of 88016292 in words is "eighty-eight million, sixteen thousand, two hundred ninety-two".