901275648 has 336 divisors, whose sum is σ = 3070043136. Its totient is φ = 230031360.

The previous prime is 901275607. The next prime is 901275649. The reversal of 901275648 is 846572109.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901275649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29073393 + ... + 29073423.

Almost surely, 2^901275648 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 901275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535021568).

901275648 is an abundant number, since it is smaller than the sum of its proper divisors (2168767488).

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

901275648 is a wasteful number, since it uses less digits than its factorization.

901275648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 901275648 is about 30021.2532716407. The cubic root of 901275648 is about 965.9453265183.

The spelling of 901275648 in words is "nine hundred one million, two hundred seventy-five thousand, six hundred forty-eight".