65842920 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 14722560.

The previous prime is 65842901. The next prime is 65842927. The reversal of 65842920 is 2924856.

It is a happy number.

It is a super-2 number, since 2×65842920² = 8670580228252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (65842927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50841 + ... + 52119.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^65842920 is an apocalyptic number.

65842920 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 65842920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

65842920 is an abundant number, since it is smaller than the sum of its proper divisors (185753880).

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

65842920 is a wasteful number, since it uses less digits than its factorization.

65842920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65842920 is about 8114.3650398537. The cubic root of 65842920 is about 403.8031423371.

The spelling of 65842920 in words is "sixty-five million, eight hundred forty-two thousand, nine hundred twenty".