96838290 has 96 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 24095232.

The previous prime is 96838277. The next prime is 96838309. The reversal of 96838290 is 9283869.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255321 + ... + 255699.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^96838290 is an apocalyptic number.

96838290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96838290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

96838290 is an abundant number, since it is smaller than the sum of its proper divisors (172055790).

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

96838290 is a wasteful number, since it uses less digits than its factorization.

96838290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 96838290 is about 9840.6447959471. The cubic root of 96838290 is about 459.2146176202.

The spelling of 96838290 in words is "ninety-six million, eight hundred thirty-eight thousand, two hundred ninety".