901961424 has 180 divisors, whose sum is σ = 3162555396. Its totient is φ = 237855744.

The previous prime is 901961363. The next prime is 901961471. The reversal of 901961424 is 424169109.

It is a happy number.

901961424 is a `hidden beast` number, since 9 + 0 + 19 + 614 + 24 = 666.

901961424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 287913024 + 614048400 = 16968^2 + 24780^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86812 + ... + 96644.

Almost surely, 2^901961424 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 901961424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581277698).

901961424 is an abundant number, since it is smaller than the sum of its proper divisors (2260593972).

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

901961424 is a wasteful number, since it uses less digits than its factorization.

901961424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 901961424 is about 30032.6726083444. The cubic root of 901961424 is about 966.1902586814.

The spelling of 901961424 in words is "nine hundred one million, nine hundred sixty-one thousand, four hundred twenty-four".