971087040 has 672 divisors, whose sum is σ = 4336450560. Its totient is φ = 193536000.

The previous prime is 971087021. The next prime is 971087063. The reversal of 971087040 is 40780179.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 971086986 and 971087004.

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, 6430965 + ... + 6431115.

Almost surely, 2^971087040 is an apocalyptic number.

971087040 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 971087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

971087040 is an abundant number, since it is smaller than the sum of its proper divisors (3365363520).

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

971087040 is a wasteful number, since it uses less digits than its factorization.

971087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 971087040 is about 31162.2694937323. The cubic root of 971087040 is about 990.2679409439.

The spelling of 971087040 in words is "nine hundred seventy-one million, eighty-seven thousand, forty".