10757964 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3037056.

The previous prime is 10757963. The next prime is 10757987. The reversal of 10757964 is 46975701.

10757964 = T₁₅₇ + T₁₅₈ + ... + T₄₀₈.

It is not an unprimeable number, because it can be changed into a prime (10757963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6757 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^10757964 is an apocalyptic number.

10757964 is a gapful number since it is divisible by the number (14) 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 10757964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10757964 is an abundant number, since it is smaller than the sum of its proper divisors (18272436).

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

10757964 is a wasteful number, since it uses less digits than its factorization.

10757964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 10757964 is about 3279.9335359120. The cubic root of 10757964 is about 220.7547356542.

The spelling of 10757964 in words is "ten million, seven hundred fifty-seven thousand, nine hundred sixty-four".