900716544 has 384 divisors, whose sum is σ = 3302208000. Its totient is φ = 236224512.

The previous prime is 900716543. The next prime is 900716573. The reversal of 900716544 is 445617009.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×900716544² = 1622580585270607872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 900716499 and 900716508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900716543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031847 + ... + 5032025.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2^900716544 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 900716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

900716544 is an abundant number, since it is smaller than the sum of its proper divisors (2401491456).

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

900716544 is a wasteful number, since it uses less digits than its factorization.

900716544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 900716544 is about 30011.9400239305. The cubic root of 900716544 is about 965.7455446457.

The spelling of 900716544 in words is "nine hundred million, seven hundred sixteen thousand, five hundred forty-four".