97648950 has 96 divisors (see below), whose sum is σ = 279553536. Its totient is φ = 22095360.

The previous prime is 97648933. The next prime is 97648951. The reversal of 97648950 is 5984679.

It is a super-2 number, since 2×97648950² = 19070634872205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97648950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97648951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118239 + ... + 119061.

It is an arithmetic number, because the mean of its divisors is an integer number (2912016).

Almost surely, 2^97648950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97648950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776768).

97648950 is an abundant number, since it is smaller than the sum of its proper divisors (181904586).

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

97648950 is a wasteful number, since it uses less digits than its factorization.

97648950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 97648950 is about 9881.7483270927. The cubic root of 97648950 is about 460.4924625140.

The spelling of 97648950 in words is "ninety-seven million, six hundred forty-eight thousand, nine hundred fifty".