53961264 has 240 divisors, whose sum is σ = 189416448. Its totient is φ = 13989888.

The previous prime is 53961251. The next prime is 53961283. The reversal of 53961264 is 46216935.

It is a happy number.

53961264 is a `hidden beast` number, since 5 + 39 + 612 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805359 + ... + 805425.

Almost surely, 2^53961264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53961264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708224).

53961264 is an abundant number, since it is smaller than the sum of its proper divisors (135455184).

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

53961264 is a wasteful number, since it uses less digits than its factorization.

53961264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 53961264 is about 7345.8331045566. The cubic root of 53961264 is about 377.8859150127.

The spelling of 53961264 in words is "fifty-three million, nine hundred sixty-one thousand, two hundred sixty-four".