901552680 has 320 divisors, whose sum is σ = 3501527040. Its totient is φ = 203793408.

The previous prime is 901552621. The next prime is 901552681. The reversal of 901552680 is 86255109.

It is a happy number.

901552680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901552681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2880204 + ... + 2880516.

It is an arithmetic number, because the mean of its divisors is an integer number (10942272).

Almost surely, 2^901552680 is an apocalyptic number.

901552680 is a gapful number since it is divisible by the number (90) 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 901552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750763520).

901552680 is an abundant number, since it is smaller than the sum of its proper divisors (2599974360).

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

901552680 is a wasteful number, since it uses less digits than its factorization.

901552680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 901552680 is about 30025.8668484359. The cubic root of 901552680 is about 966.0442863845.

The spelling of 901552680 in words is "nine hundred one million, five hundred fifty-two thousand, six hundred eighty".