901712736 has 144 divisors (see below), whose sum is σ = 2704233168. Its totient is φ = 295488000.

The previous prime is 901712729. The next prime is 901712741. The reversal of 901712736 is 637217109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 901712736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473386 + ... + 475286.

It is an arithmetic number, because the mean of its divisors is an integer number (18779397).

Almost surely, 2^901712736 is an apocalyptic number.

901712736 is a gapful number since it is divisible by the number (96) 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 901712736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352116584).

901712736 is an abundant number, since it is smaller than the sum of its proper divisors (1802520432).

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

901712736 is a wasteful number, since it uses less digits than its factorization.

901712736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 901712736 is about 30028.5320320524. The cubic root of 901712736 is about 966.1014514799.

The spelling of 901712736 in words is "nine hundred one million, seven hundred twelve thousand, seven hundred thirty-six".