88070400 has 324 divisors, whose sum is σ = 345967440. Its totient is φ = 21196800.

The previous prime is 88070399. The next prime is 88070413. The reversal of 88070400 is 407088.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 633531 + ... + 633669.

Almost surely, 2^88070400 is an apocalyptic number.

88070400 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 88070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172983720).

88070400 is an abundant number, since it is smaller than the sum of its proper divisors (257897040).

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

88070400 is a wasteful number, since it uses less digits than its factorization.

88070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

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

The square root of 88070400 is about 9384.5831020882. The cubic root of 88070400 is about 444.9145987695.

Adding to 88070400 its reverse (407088), we get a palindrome (88477488).

The spelling of 88070400 in words is "eighty-eight million, seventy thousand, four hundred".