914000164 has 96 divisors (see below), whose sum is σ = 2059739136. Its totient is φ = 344580480.

The previous prime is 914000147. The next prime is 914000173. The reversal of 914000164 is 461000419.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490722 + ... + 1491334.

It is an arithmetic number, because the mean of its divisors is an integer number (21455616).

Almost surely, 2^914000164 is an apocalyptic number.

914000164 is a gapful number since it is divisible by the number (94) 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 914000164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029869568).

914000164 is an abundant number, since it is smaller than the sum of its proper divisors (1145738972).

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

914000164 is a wasteful number, since it uses less digits than its factorization.

914000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 914000164 is about 30232.4356279808. The cubic root of 914000164 is about 970.4699476460.

The spelling of 914000164 in words is "nine hundred fourteen million, one hundred sixty-four", and thus it is an aban number.