7953960 has 128 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 1708032.

The previous prime is 7953931. The next prime is 7953971. The reversal of 7953960 is 693597.

7953960 = T₁₅₀₄ + T₁₅₀₅ + ... + T₁₅₁₀.

7953960 = 676² + 677² + ... + 692².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14002 + ... + 14558.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 2^7953960 is an apocalyptic number.

7953960 is a gapful number since it is divisible by the number (70) 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 7953960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

7953960 is an abundant number, since it is smaller than the sum of its proper divisors (20972760).

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

7953960 is a wasteful number, since it uses less digits than its factorization.

7953960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 7953960 is about 2820.2765821813. The cubic root of 7953960 is about 199.6155949706.

The spelling of 7953960 in words is "seven million, nine hundred fifty-three thousand, nine hundred sixty".