971882496 has 240 divisors, whose sum is σ = 3119418400. Its totient is φ = 299040768.

The previous prime is 971882489. The next prime is 971882533. The reversal of 971882496 is 694288179.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

971882496 is a `hidden beast` number, since 9 + 71 + 8 + 82 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1741824) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74760186 + ... + 74760198.

Almost surely, 2^971882496 is an apocalyptic number.

971882496 is a gapful number since it is divisible by the number (96) 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 971882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559709200).

971882496 is an abundant number, since it is smaller than the sum of its proper divisors (2147535904).

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

971882496 is an frugal number, since it uses more digits than its factorization.

971882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 18 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 971882496 is about 31175.0300080048. The cubic root of 971882496 is about 990.5382564282.

Multiplying 971882496 by its sum of digits (54), we get a cube (52481654784 = 3744³).

The spelling of 971882496 in words is "nine hundred seventy-one million, eight hundred eighty-two thousand, four hundred ninety-six".