970691040 has 360 divisors, whose sum is σ = 3771555480. Its totient is φ = 234938880.

The previous prime is 970691027. The next prime is 970691077. The reversal of 970691040 is 40196079.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 970690986 and 970691004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1567851 + ... + 1568469.

It is an arithmetic number, because the mean of its divisors is an integer number (10476543).

Almost surely, 2^970691040 is an apocalyptic number.

970691040 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 970691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885777740).

970691040 is an abundant number, since it is smaller than the sum of its proper divisors (2800864440).

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

970691040 is a wasteful number, since it uses less digits than its factorization.

970691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 970691040 is about 31155.9150082292. The cubic root of 970691040 is about 990.1333153800.

The spelling of 970691040 in words is "nine hundred seventy million, six hundred ninety-one thousand, forty".