54032790 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 12004608.

The previous prime is 54032777. The next prime is 54032791. The reversal of 54032790 is 9723045.

54032790 = T₃₈₁ + T₃₈₂ + ... + T₇₂₃.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54032791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607066 + ... + 607154.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 2^54032790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54032790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

54032790 is an abundant number, since it is smaller than the sum of its proper divisors (101487210).

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

54032790 is a wasteful number, since it uses less digits than its factorization.

54032790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 54032790 is about 7350.6999666698. The cubic root of 54032790 is about 378.0528046944.

The spelling of 54032790 in words is "fifty-four million, thirty-two thousand, seven hundred ninety".