969354540 has 480 divisors, whose sum is σ = 4000550400. Its totient is φ = 190356480.

The previous prime is 969354539. The next prime is 969354541. The reversal of 969354540 is 45453969.

969354540 is a `hidden beast` number, since 9 + 69 + 3 + 545 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (969354539) and next prime (969354541).

It is a super-2 number, since 2×969354540² = 1879296448437223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (969354541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2369856 + ... + 2370264.

It is an arithmetic number, because the mean of its divisors is an integer number (8334480).

Almost surely, 2^969354540 is an apocalyptic number.

969354540 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 969354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000275200).

969354540 is an abundant number, since it is smaller than the sum of its proper divisors (3031195860).

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

969354540 is a wasteful number, since it uses less digits than its factorization.

969354540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 969354540 is about 31134.4590446020. The cubic root of 969354540 is about 989.6786836030.

It can be divided in two parts, 96935 and 4540, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 969354540 in words is "nine hundred sixty-nine million, three hundred fifty-four thousand, five hundred forty".