901151280 has 120 divisors (see below), whose sum is σ = 3108251952. Its totient is φ = 233805312.

The previous prime is 901151267. The next prime is 901151281. The reversal of 901151280 is 82151109.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (901151281) 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, 9727 + ... + 43553.

Almost surely, 2^901151280 is an apocalyptic number.

901151280 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 901151280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554125976).

901151280 is an abundant number, since it is smaller than the sum of its proper divisors (2207100672).

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

901151280 is a wasteful number, since it uses less digits than its factorization.

901151280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33883 (or 33874 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 901151280 is about 30019.1818675993. The cubic root of 901151280 is about 965.9008938615.

The spelling of 901151280 in words is "nine hundred one million, one hundred fifty-one thousand, two hundred eighty".