97950384 has 240 divisors, whose sum is σ = 335811840. Its totient is φ = 27060480.

The previous prime is 97950373. The next prime is 97950407. The reversal of 97950384 is 48305979.

It is a congruent number.

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, 1605714 + ... + 1605774.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^97950384 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 97950384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

97950384 is an abundant number, since it is smaller than the sum of its proper divisors (237861456).

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

97950384 is a wasteful number, since it uses less digits than its factorization.

97950384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 97950384 is about 9896.9886329125. The cubic root of 97950384 is about 460.9658094703.

The spelling of 97950384 in words is "ninety-seven million, nine hundred fifty thousand, three hundred eighty-four".