901416 has 48 divisors (see below), whose sum is σ = 2388960. Its totient is φ = 283360.

The previous prime is 901403. The next prime is 901423. The reversal of 901416 is 614109.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 901392 and 901401.

It is a congruent number.

It is an unprimeable number.

901416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12661 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (49770).

2⁹⁰¹⁴¹⁶ 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 901416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480).

901416 is an abundant number, since it is smaller than the sum of its proper divisors (1487544).

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

901416 is a wasteful number, since it uses less digits than its factorization.

901416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 901416 is about 949.4293022653. The cubic root of 901416 is about 96.5995464831.

The spelling of 901416 in words is "nine hundred one thousand, four hundred sixteen".