96862920 has 192 divisors, whose sum is σ = 365420160. Its totient is φ = 20106240.

The previous prime is 96862919. The next prime is 96862921. The reversal of 96862920 is 2926869.

It is an interprime number because it is at equal distance from previous prime (96862919) and next prime (96862921).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96862921) 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, 101164 + ... + 102116.

It is an arithmetic number, because the mean of its divisors is an integer number (1903230).

Almost surely, 2^96862920 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 96862920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710080).

96862920 is an abundant number, since it is smaller than the sum of its proper divisors (268557240).

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

96862920 is a wasteful number, since it uses less digits than its factorization.

96862920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 96862920 is about 9841.8961587694. The cubic root of 96862920 is about 459.2535467712.

The spelling of 96862920 in words is "ninety-six million, eight hundred sixty-two thousand, nine hundred twenty".