920164764 has 24 divisors (see below), whose sum is σ = 2150725248. Its totient is φ = 306196720.

The previous prime is 920164753. The next prime is 920164769. The reversal of 920164764 is 467461029.

It is a happy number.

It is a super-3 number, since 3×920164764³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920164769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58272 + ... + 72359.

It is an arithmetic number, because the mean of its divisors is an integer number (89613552).

Almost surely, 2^920164764 is an apocalyptic number.

It is an amenable number.

920164764 is an abundant number, since it is smaller than the sum of its proper divisors (1230560484).

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

920164764 is a wasteful number, since it uses less digits than its factorization.

920164764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131225 (or 131223 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 920164764 is about 30334.2177087196. The cubic root of 920164764 is about 972.6468834870.

The spelling of 920164764 in words is "nine hundred twenty million, one hundred sixty-four thousand, seven hundred sixty-four".