970950240 has 576 divisors, whose sum is σ = 3952742976. Its totient is φ = 222953472.

The previous prime is 970950209. The next prime is 970950283. The reversal of 970950240 is 42059079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 970950195 and 970950204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592424 + ... + 8592536.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2^970950240 is an apocalyptic number.

970950240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976371488).

970950240 is an abundant number, since it is smaller than the sum of its proper divisors (2981792736).

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

970950240 is a wasteful number, since it uses less digits than its factorization.

970950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 970950240 is about 31160.0744543398. The cubic root of 970950240 is about 990.2214380695.

970950240 divided by its sum of digits (36) gives a triangular number (26970840 = T₇₃₄₄).

The spelling of 970950240 in words is "nine hundred seventy million, nine hundred fifty thousand, two hundred forty".