53780832 has 216 divisors, whose sum is σ = 184491216. Its totient is φ = 14805504.

The previous prime is 53780813. The next prime is 53780851. The reversal of 53780832 is 23808735.

It is an interprime number because it is at equal distance from previous prime (53780813) and next prime (53780851).

It is a super-2 number, since 2×53780832² = 5784755781224448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 522093 + ... + 522195.

It is an arithmetic number, because the mean of its divisors is an integer number (854126).

Almost surely, 2^53780832 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 53780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92245608).

53780832 is an abundant number, since it is smaller than the sum of its proper divisors (130710384).

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

53780832 is a wasteful number, since it uses less digits than its factorization.

53780832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 53780832 is about 7333.5415728010. The cubic root of 53780832 is about 377.4642616343.

The spelling of 53780832 in words is "fifty-three million, seven hundred eighty thousand, eight hundred thirty-two".