96946920 has 384 divisors, whose sum is σ = 398960640. Its totient is φ = 19906560.

The previous prime is 96946907. The next prime is 96946939. The reversal of 96946920 is 2964969.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328004 + ... + 1328076.

It is an arithmetic number, because the mean of its divisors is an integer number (1038960).

Almost surely, 2^96946920 is an apocalyptic number.

96946920 is a gapful number since it is divisible by the number (90) 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 96946920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480320).

96946920 is an abundant number, since it is smaller than the sum of its proper divisors (302013720).

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

96946920 is a wasteful number, since it uses less digits than its factorization.

96946920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 96946920 is about 9846.1627043229. The cubic root of 96946920 is about 459.3862640581.

The spelling of 96946920 in words is "ninety-six million, nine hundred forty-six thousand, nine hundred twenty".