901024080 has 480 divisors, whose sum is σ = 3419781120. Its totient is φ = 195148800.

The previous prime is 901024079. The next prime is 901024081. The reversal of 901024080 is 80420109.

It is an interprime number because it is at equal distance from previous prime (901024079) and next prime (901024081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 901024080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901024081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12690445 + ... + 12690515.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^901024080 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 901024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

901024080 is an abundant number, since it is smaller than the sum of its proper divisors (2518757040).

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

901024080 is a wasteful number, since it uses less digits than its factorization.

901024080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 901024080 is about 30017.0631474833. The cubic root of 901024080 is about 965.8554451939.

Adding to 901024080 its reverse (80420109), we get a palindrome (981444189).

The spelling of 901024080 in words is "nine hundred one million, twenty-four thousand, eighty".