89951040 has 224 divisors, whose sum is σ = 329184000. Its totient is φ = 23095296.

The previous prime is 89951039. The next prime is 89951047. The reversal of 89951040 is 4015998.

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

It is a junction number, because it is equal to n+sod(n) for n = 89950986 and 89951004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89951047) 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 31 ways as a sum of consecutive naturals, for example, 250381 + ... + 250739.

Almost surely, 2^89951040 is an apocalyptic number.

89951040 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 89951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

89951040 is an abundant number, since it is smaller than the sum of its proper divisors (239232960).

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

89951040 is a wasteful number, since it uses less digits than its factorization.

89951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89951040 is about 9484.2522109020. The cubic root of 89951040 is about 448.0591971095.

The spelling of 89951040 in words is "eighty-nine million, nine hundred fifty-one thousand, forty".