901861920 has 288 divisors, whose sum is σ = 3226728960. Its totient is φ = 229109760.

The previous prime is 901861907. The next prime is 901861949. The reversal of 901861920 is 29168109.

901861920 is a `hidden beast` number, since 9 + 0 + 18 + 619 + 20 = 666.

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972847 + ... + 3973073.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^901861920 is an apocalyptic number.

901861920 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 901861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

901861920 is an abundant number, since it is smaller than the sum of its proper divisors (2324867040).

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

901861920 is a wasteful number, since it uses less digits than its factorization.

901861920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 901861920 is about 30031.0159668300. The cubic root of 901861920 is about 966.1547274755.

The spelling of 901861920 in words is "nine hundred one million, eight hundred sixty-one thousand, nine hundred twenty".