970849248 has 96 divisors (see below), whose sum is σ = 2608744320. Its totient is φ = 316039680.

The previous prime is 970849241. The next prime is 970849259. The reversal of 970849248 is 842948079.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 970849248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970849241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024711 + ... + 1025657.

It is an arithmetic number, because the mean of its divisors is an integer number (27174420).

Almost surely, 2^970849248 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 970849248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304372160).

970849248 is an abundant number, since it is smaller than the sum of its proper divisors (1637895072).

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

970849248 is a wasteful number, since it uses less digits than its factorization.

With its successor (970849249) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1200).

970849248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 970849248 is about 31158.4538769176. The cubic root of 970849248 is about 990.1871047237.

The spelling of 970849248 in words is "nine hundred seventy million, eight hundred forty-nine thousand, two hundred forty-eight".