920414664 has 160 divisors (see below), whose sum is σ = 2852323320. Its totient is φ = 275457024.

The previous prime is 920414647. The next prime is 920414681. The reversal of 920414664 is 466414029.

It is an interprime number because it is at equal distance from previous prime (920414647) and next prime (920414681).

It can be written as a sum of positive squares in 4 ways, for example, as 887444100 + 32970564 = 29790^2 + 5742^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310212 + ... + 313164.

Almost surely, 2^920414664 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 920414664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426161660).

920414664 is an abundant number, since it is smaller than the sum of its proper divisors (1931908656).

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

920414664 is a wasteful number, since it uses less digits than its factorization.

920414664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 920414664 is about 30338.3365397643. The cubic root of 920414664 is about 972.7349265799.

The spelling of 920414664 in words is "nine hundred twenty million, four hundred fourteen thousand, six hundred sixty-four".