64096920 has 160 divisors (see below), whose sum is σ = 219193920. Its totient is φ = 16796160.

The previous prime is 64096897. The next prime is 64096927. The reversal of 64096920 is 2969046.

64096920 = 345² + 346² + ... + 615².

64096920 is a `hidden beast` number, since 640 + 9 + 6 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64096927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236385 + ... + 236655.

It is an arithmetic number, because the mean of its divisors is an integer number (1369962).

Almost surely, 2^64096920 is an apocalyptic number.

64096920 is a gapful number since it is divisible by the number (60) 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 64096920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109596960).

64096920 is an abundant number, since it is smaller than the sum of its proper divisors (155097000).

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

64096920 is a wasteful number, since it uses less digits than its factorization.

64096920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 64096920 is about 8006.0552084032. The cubic root of 64096920 is about 400.2018148265.

The spelling of 64096920 in words is "sixty-four million, ninety-six thousand, nine hundred twenty".