901124640 has 288 divisors, whose sum is σ = 3403750896. Its totient is φ = 215654400.

The previous prime is 901124621. The next prime is 901124657. The reversal of 901124640 is 46421109.

901124640 is a `hidden beast` number, since 9 + 0 + 1 + 12 + 4 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 120033936 + 781090704 = 10956^2 + 27948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691990 + ... + 693290.

Almost surely, 2^901124640 is an apocalyptic number.

901124640 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 901124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701875448).

901124640 is an abundant number, since it is smaller than the sum of its proper divisors (2502626256).

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

901124640 is a wasteful number, since it uses less digits than its factorization.

901124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 901124640 is about 30018.7381480301. The cubic root of 901124640 is about 965.8913757211.

Adding to 901124640 its reverse (46421109), we get a palindrome (947545749).

The spelling of 901124640 in words is "nine hundred one million, one hundred twenty-four thousand, six hundred forty".